Multiplicity of Solutions For a Convex-concave Problem With a Nonlinear Boundary Condition

DOI10.1515/ans-2006-0107zbMath1163.35317OpenAlexW2508024099MaRDI QIDQ5488607

Emerson A. M. Abreu, Olímpio Hiroshi Miyagaki, Paulo Cesar Carrião

Publication date: 22 September 2006

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2006-0107

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

Corrigendum to ``Multiplicity of positive solutions for a class of quasilinear nonhomogeneous Neumann problems ⋮ Elliptic equations with critical and supercritical growth at the boundary ⋮ Multiplicity of solutions for a nonlinear boundary value problem in the upper half-space ⋮ Existence of positive solution for elliptic equations with singular terms and combined nonlinearities ⋮ Existence of a positive solution for a singular elliptic problem with general exponential growth

Cites Work

• A general mountain pass principle for locating and classifying critical points
• A convex-concave problem with a nonlinear boundary condition.
• Asymptotic behavior of the best Sobolev trace constant in expanding and contracting domains.
• Existence of multiple positive solutions for inhomogeneous Neumann problem
• Symmetry properties of positive solutions to some elliptic equations with nonlinear boundary conditions
• Multiplicity results for some nonlinear elliptic equations
• Uniqueness theorems on conformal deformation of metrics, sobolev inequalities, and an eigenvalue estimate
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

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