Linking and multiplicity results for the \(p\)-Laplacian on unbounded cylinders
From MaRDI portal
Publication:5945103
DOI10.1006/jmaa.2000.7468zbMath1001.35027OpenAlexW1975572805MaRDI QIDQ5945103
Publication date: 19 December 2002
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.2000.7468
Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)
Related Items
Discontinuous elliptic problems involving the p(x)‐Laplacian ⋮ Existence and multiplicity results for an elliptic problem involving cylindrical weights and a homogeneous term \(\mu \) ⋮ A hemivariational inequality involving \(p\)-Laplacian on an infinite strip ⋮ Existence of a nontrivial solution for a class of superquadratic elliptic problems ⋮ Existence and multiplicity of solutions for a supercritical elliptic problem in unbounded cylinders ⋮ An existence result for gradient-type systems with a nondifferentiable term on unbounded strips ⋮ Multiplicity results for an eigenvalue problem for hemivariational inequalities in strip-like domains ⋮ A compact embedding result for anisotropic Sobolev spaces associated to a strip-like domain and some applications ⋮ A non-homogeneous elliptic problem in low dimensions with three symmetric solutions ⋮ A multiplicity result for a special class of gradient-type systems with non-differentiable term ⋮ An eigenvalue problem for hemivariational inequalities with combined nonlinearities on an infinite strip ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- The principle of symmetric criticality
- Existence and nonexistence results for m-Laplace equations involving critical Sobolev exponents
- Symétrie et compacité dans les espaces de Sobolev
- Quasilinear elliptic boundary-value problems on unbounded cylinders and a related mountain-pass lemma
- Linking and existence results for perturbations of the \(p\)-Laplacian
- Multiplicity results for some nonlinear elliptic equations
- Critical \(p\)-Laplacian problems in \(\mathbf R^ N\)
- Minimax theorems
- On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
- Nonlinear p-Laplacian Problems on Unbounded Domains
- Global bifurcation results for semilinear elliptic problems in
- Positive solutions of certain elliptic equations involving critical Sobolev exponents
- Existence results for perturbations of the p-Laplacian
- Equivalent Norms for Sobolev Spaces
- Bifurcation problems for the 𝑝-Laplacian in 𝑅ⁿ