EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A NEUMANN PROBLEM INVOLVING VARIABLE EXPONENT GROWTH CONDITIONS
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Publication:3529470
DOI10.1017/S0017089508004424zbMath1188.35089OpenAlexW2154970585MaRDI QIDQ3529470
Maria-Magdalena Boureanu, Mihai Mihăilescu
Publication date: 13 October 2008
Published in: Glasgow Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0017089508004424
Degenerate elliptic equations (35J70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Foundations of fluid mechanics (76A02)
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Cites Work
- Orlicz spaces and modular spaces
- On a three critical points theorem
- Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- Nonhomogeneous boundary value problems in anisotropic Sobolev spaces
- Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
- Continuous spectrum for a class of nonhomogeneous differential operators
- Multiple solutions for quasilinear elliptic Neumann problems in Orlicz-Sobolev spaces
- EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR AN ELLIPTIC EQUATION WITH $p(x)$-GROWTH CONDITIONS
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- Remarks on finding critical points
- On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
- Gradient estimates for thep(x)-Laplacean system
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Existence and multiplicity of solutions for a Neumann problem involving the \(p(x)\)-Laplace operator
- A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
