Multiplicity of solutions on a nonlinear eigenvalue problem for \(p(x)\)-Laplacian-like operators
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Publication:414401
DOI10.1007/s00009-011-0115-yzbMath1245.35061OpenAlexW1976366686MaRDI QIDQ414401
Publication date: 11 May 2012
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-011-0115-y
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Degenerate elliptic equations (35J70)
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Cites Work
- Unnamed Item
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- On a superlinear elliptic equation
- Existence and multiplicity of solutions for \(p(x)\)-Laplacian equation with nonsmooth potential
- A singular solution of the capillary equation. I: Existence
- On the behavior of a capillary surface at a singular point
- Large and small solutions of a class of quasilinear elliptic eigenvalue problems
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
- On a modified capillary equation
- Dual variational methods in critical point theory and applications
- \(p(x)\)-Laplacian equations satisfying Cerami condition
- Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
- Interior and exterior boundary value problems from the theory of the capillary tube
- Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients
- Ground States for the Prescribed Mean Curvature Equation
- Global and local behavior of positive solutions of nonlinear elliptic equations
- On a class of sublinear quasilinear elliptic problems
- On the number of positive solutions for quasilinear elliptic eigenvalue problems
- Regularity of nonstandard lagrangians ƒ(x, ξ)
- The regularity of Lagrangiansf(x, ξ)=254-01254-01254-01with Hölder exponents α(x)
- Existence and multiplicity of solutions for an anisotropic elliptic problem involving variable exponent growth conditions
- Multiple nontrivial solutions for nonlinear eigenvalue problems