Bibliografías temáticas / (p,q)-Laplacian

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Literatura académica sobre el tema "(p,q)-Laplacian"

Autor: Grafiati
Publicado: 10 de marzo de 2023

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Artículos de revistas sobre el tema "(p,q)-Laplacian"

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Hsu, Tsing-San y Huei-Li Lin. "Multiplicity of Positive Solutions for ap-q-Laplacian Type Equation with Critical Nonlinearities". Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/829069.

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We study the effect of the coefficientf(x)of the critical nonlinearity on the number of positive solutions for ap-q-Laplacian equation. Under suitable assumptions forf(x)andg(x), we should prove that for sufficiently smallλ>0, there exist at leastkpositive solutions of the followingp-q-Laplacian equation,-Δpu-Δqu=fxu|p*-2u+λgxu|r-2u in Ω,u=0 on ∂Ω,whereΩ⊂RNis a bounded smooth domain,N>p,1<q<N(p-1)/(N-1)<p≤max⁡{p,p^*-q/(p-1)}<r<p^*,p^*=Np/(N-p)is the critical Sobolev exponent, andΔsu=div(|∇u|s-2∇uis thes-Laplacian ofu.
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Motreanu, Dumitru. "Quasilinear Dirichlet problems with competing operators and convection". Open Mathematics 18, n.º 1 (1 de enero de 2020): 1510–17. http://dx.doi.org/10.1515/math-2020-0112.

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Abstract The paper deals with a quasilinear Dirichlet problem involving a competing (p,q)-Laplacian and a convection term. Due to the lack of ellipticity, monotonicity and variational structure, the known methods to find a weak solution are not applicable. We develop an approximation procedure permitting to establish the existence of solutions in a generalized sense. If in place of competing (p,q)-Laplacian we consider the usual (p,q)-Laplacian, our results ensure the existence of weak solutions.
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Motreanu, Dumitru. "Quasilinear Dirichlet problems with competing operators and convection". Open Mathematics 18, n.º 1 (22 de diciembre de 2020): 1510–17. http://dx.doi.org/10.1515/math-2020-0112.

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Abstract The paper deals with a quasilinear Dirichlet problem involving a competing (p,q)-Laplacian and a convection term. Due to the lack of ellipticity, monotonicity and variational structure, the known methods to find a weak solution are not applicable. We develop an approximation procedure permitting to establish the existence of solutions in a generalized sense. If in place of competing (p,q)-Laplacian we consider the usual (p,q)-Laplacian, our results ensure the existence of weak solutions.
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Abolarinwa, Abimbola y Shahroud Azami. "Comparison estimates on the first eigenvalue of a quasilinear elliptic system". Journal of Applied Analysis 26, n.º 2 (1 de diciembre de 2020): 273–85. http://dx.doi.org/10.1515/jaa-2020-2024.

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AbstractWe study a system of quasilinear eigenvalue problems with Dirichlet boundary conditions on complete compact Riemannian manifolds. In particular, Cheng comparison estimates and the inequality of Faber–Krahn for the first eigenvalue of a {(p,q)}-Laplacian are recovered. Lastly, we reprove a Cheeger-type estimate for the p-Laplacian, {1<p<\infty}, from where a lower bound estimate in terms of Cheeger’s constant for the first eigenvalue of a {(p,q)}-Laplacian is built. As a corollary, the first eigenvalue converges to Cheeger’s constant as {p,q\to 1,1}.
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5

Gasiński, Leszek y Nikolaos S. Papageorgiou. "Resonant Anisotropic (p,q)-Equations". Mathematics 8, n.º 8 (10 de agosto de 2020): 1332. http://dx.doi.org/10.3390/math8081332.

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We consider an anisotropic Dirichlet problem which is driven by the (p(z),q(z))-Laplacian (that is, the sum of a p(z)-Laplacian and a q(z)-Laplacian), The reaction (source) term, is a Carathéodory function which asymptotically as x±∞ can be resonant with respect to the principal eigenvalue of (−Δp(z),W01,p(z)(Ω)). First using truncation techniques and the direct method of the calculus of variations, we produce two smooth solutions of constant sign. In fact we show that there exist a smallest positive solution and a biggest negative solution. Then by combining variational tools, with suitable truncation techniques and the theory of critical groups, we show the existence of a nodal (sign changing) solution, located between the two extremal ones.
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6

李, 燕茹. "On a Class of (p(u),q(u))-Laplacian Problem". Pure Mathematics 11, n.º 04 (2021): 586–98. http://dx.doi.org/10.12677/pm.2021.114072.

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Papageorgiou, Nikolaos S., Dongdong Qin y Vicenţiu D. Rădulescu. "Nonlinear eigenvalue problems for the (p,q)–Laplacian". Bulletin des Sciences Mathématiques 172 (noviembre de 2021): 103039. http://dx.doi.org/10.1016/j.bulsci.2021.103039.

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Haghaiegh, Somayeh y Ghasem Afrouzi. "Sub-super solutions for (p-q) Laplacian systems". Boundary Value Problems 2011, n.º 1 (2011): 52. http://dx.doi.org/10.1186/1687-2770-2011-52.

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Manouni, Said El, Kanishka Perera y Ratnasingham Shivaji. "On singular quasi-monotone (p, q)-Laplacian systems". Proceedings of the Royal Society of Edinburgh: Section A Mathematics 142, n.º 3 (junio de 2012): 585–94. http://dx.doi.org/10.1017/s0308210510001356.

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Humphries, Peter. "Spectral Multiplicity for Maaß Newforms of Non-Squarefree Level". International Mathematics Research Notices 2019, n.º 18 (8 de diciembre de 2017): 5703–43. http://dx.doi.org/10.1093/imrn/rnx283.

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Abstract We show that if a positive integer $q$ has $s(q)$ odd prime divisors $p$ for which $p^2$ divides $q$, then a positive proportion of the Laplacian eigenvalues of Maaß newforms of weight $0$, level $q$, and principal character occur with multiplicity at least $2^{s(q)}$. Consequently, the new part of the cuspidal spectrum of the Laplacian on $\Gamma_0(q) \backslash \mathbb{H}$ cannot be simple for any odd non-squarefree integer $q$. This generalises work of Strömberg who proved this for $q = 9$ by different methods.
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Tesis sobre el tema "(p,q)-Laplacian"

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SILVA, José de Brito. "O método das sub e supersoluções para um sistema do tipo (p,q)-Laplaciano". Universidade Federal de Campina Grande, 2013. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1388.

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Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-08-08T20:06:07Z No. of bitstreams: 1 JOSÉ DE BRITO SILVA - DISSERTAÇÃO PPGMAT 2013..pdf: 535262 bytes, checksum: eb7f0d4f7e69b8a4b86d3e1dc0f16739 (MD5)
Made available in DSpace on 2018-08-08T20:06:07Z (GMT). No. of bitstreams: 1 JOSÉ DE BRITO SILVA - DISSERTAÇÃO PPGMAT 2013..pdf: 535262 bytes, checksum: eb7f0d4f7e69b8a4b86d3e1dc0f16739 (MD5) Previous issue date: 2013-10
Capes
Neste trabalho discutiremos a existência de soluções fracas positivas para um sistema do (p, q)-Laplaciano com mudança de sinal nas funções de peso, com domínio limitado e fronteira suave. Para garantir a existência de soluções fracas positivas primeiramente asseguraremos a solução positiva de um problema calásico que é o problema de autovalor do p-laplaciano, e do problema "linear"do p-laplaciano com condição zero de Dirichlet. Feito isto usaremos a existência destas soluções para assegurar que o problema em questão admite solução fraca positiva, via o método das sub-super-soluções
In this work we discuss the existence of weak positive solutions for a system (p, q)- Laplacian with change of sign in the weight functions with bounded domain and smooth boundary. To ensure the existence of weak positive solutions first will ensure a positive solution to a classic problem that is the problem eigenvalue p-Laplacian value, and the "linear"problem with zero condition p-Laplacian Dirichelt. Having done this we use the existence of these solutions to ensure that the problem in question admits a weak positive solution via the method of sub-super-solutions.
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Baldelli, Laura. "Existence and multiplicity results for nonlinear elliptic problems". Doctoral thesis, 2022. http://hdl.handle.net/2158/1261959.

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In this work of thesis, we investigate existence and multiplicity results for a class of nonlinear elliptic problems. First, we deal with problems involving the p-Laplacian operator on bounded smooth domains, where a diffusion term appears into the nonlinearity. For this reason, variational methods cannot be used. Secondly, we treat existence and multiplicity of weak solutions for (p; q)- Laplacian equations, as well as for singular p-Laplacian Schrodinger equations, in the entire R^N whose nonlinearity combines a power-type term at critical level with a subcritical term, involving also nontrivial weights and a positive parameter. This latter case, considered also in a symmetric setting, allows us to use variational methods, but in the delicate situation of lack of compactness, so that classical results cannot be directly used, they need to be adapted.
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Capítulos de libros sobre el tema "(p,q)-Laplacian"

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Motreanu, Dumitru y Viorica Venera Motreanu. "(p, q)–Laplacian Equations with Convection Term and an Intrinsic Operator". En Differential and Integral Inequalities, 589–601. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-27407-8_22.

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2

Azroul, Elhoussine y Athmane Boumazourh. "A Sub-supersolutions Method for a Class of Weighted (p(.), q(.))-Laplacian Systems". En Recent Advances in Modeling, Analysis and Systems Control: Theoretical Aspects and Applications, 21–35. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-26149-8_3.

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3

Jiang, Congying y Chengmin Hou. "The Existence of Multiple Positive Solutions of a Riemann-Liouville Fractional q-Difference Equation Under Four-Point Boundary Value Condition with p-Laplacian Operator". En Advances in Transdisciplinary Engineering. IOS Press, 2022. http://dx.doi.org/10.3233/atde220008.

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This paper mainly studies the existence of multiple positive solutions of a class of Riemann-Liouville fractional q-difference equations under the four-point boundary value condition with p-Laplacian operator. The existence of two positive solutions of the q-difference equation is verified by the monotonic iterative method. Finally, an example is used to prove the validity of the main results obtained.
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Actas de conferencias sobre el tema "(p,q)-Laplacian"

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Rasouli, S. H. y G. A. Afrouzi. "On the nonexistence and uniqueness of positive weak solutions for nonlinear multiparameter elliptic systems involving the (p, q)‐Laplacian". En ICMS INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE. American Institute of Physics, 2010. http://dx.doi.org/10.1063/1.3525205.

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