Existence of multiple positive solutions for inhomogeneous Neumann problem

DOI10.1016/S0022-247X(02)00106-3zbMath1018.35022OpenAlexW2064817188MaRDI QIDQ1849147

Shuangjie Peng, Yinbin Deng

Publication date: 28 November 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00106-3

zbMATH Keywords

barrier methodminimal positive solutionvariational functionalmountain pass lemmanontrivial critical points

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20)

Related Items (11)

Existence of multiple solutions for a quasilinear Neumann problem with critical exponent ⋮ Multiple positive solutions for a quasilinear nonhomogeneous Neumann problems with critical Hardy exponents ⋮ Existence and multiplicity of positive solutions for a class of \(p(x)\)-Kirchhoff type equations ⋮ Multiple positive solutions for a nonlinear elliptic equation involving Hardy-Sobolev-Maz'ya term ⋮ Solutions for Neumann boundary value problems involving \(p(x)\)-Laplace operators ⋮ Multiplicity of positive solutions for a class of quasilinear nonhomogeneous Neumann problems ⋮ Nonexistence, existence and multiplicity of positive solutions to the \(p(x)\)-Laplacian nonlinear Neumann boundary value problem ⋮ Multiplicity of Solutions For a Convex-concave Problem With a Nonlinear Boundary Condition ⋮ Positive solutions for robin problem involving the \(p(x)\)-Laplacian ⋮ Unnamed Item ⋮ Existence of multiple solutions for quasilinear elliptic equation with critical Sobolev–Hardy terms

Cites Work

• Unnamed Item
• Neumann problems of semilinear elliptic equations involving critical Sobolev exponents
• Neumann problem of elliptic equations with limit nonlinearity in boundary condition
• Existence and bifurcation of the positive solutions for a semilinear equation with critical exponent
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Existence of multiple positive solutions for $$ - \Delta u = \lambda u + u^{\frac{{N + 2}}{{N - 2}}} + \mu f\left( x \right)*$$
• On a neumann problem with critical exponent and critical nonlinearity on the boundary

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