Positive solutions of the Robin problem for semilinear elliptic equations on annuli

DOI10.4171/RLM/516zbMath1198.35096OpenAlexW2021825230MaRDI QIDQ993417

Qiu-Yi Dai, Yu-Xia Fu

Publication date: 19 September 2010

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=19&iss=3&rank=1

zbMATH Keywords

semilinear elliptic equationspositive solutionsRobin problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (1)

Positive stationary solutions and threshold results for the non-homogeneous semilinear parabolic equation with Robin boundary conditions

Cites Work

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• Existence of many positive nonradial solutions for nonlinear elliptic equations on an annulus
• On the Schrödinger equation and the eigenvalue problem
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• Dual variational methods in critical point theory and applications
• A Faber-Krahn inequality for Robin problems in any space dimension
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• A priori bounds for positive solutions of nonlinear elliptic equations
• Existence of Positive Nonradial Solutions for Nonlinear Elliptic Equations in Annular Domains
• On the method of moving planes and the sliding method
• Uniqueness of solutions of nonlinear Dirichlet problems

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