ON AN EIGENVALUE PROBLEM FOR AN ANISOTROPIC ELLIPTIC EQUATION INVOLVING VARIABLE EXPONENTS

DOI10.1017/S001708951000039XzbMath1201.35150OpenAlexW1968953929MaRDI QIDQ4933565

Mihai Mihăilescu, Gheorghe Morosanu

Publication date: 14 October 2010

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s001708951000039x

zbMATH Keywords

eigenvalue problemanisotropic elliptic equation

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20)

Related Items

Nonlinear elliptic problems involving the anisotropic \((p(\vec{x}),q(\vec{x}))\) system ⋮ The stability of eigenvalues for the \(p(x)\)-Laplacian equations involving Robin boundary conditions ⋮ Eigenvalue problems for anisotropic elliptic equations: an Orlicz-Sobolev space setting ⋮ On a class of anisotropic elliptic equations without Ambrosetti-Rabinowitz type conditions

Cites Work

• Unnamed Item
• Orlicz spaces and modular spaces
• The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values
• Remarks on eigenvalue problems involving the \(p(x)\)-Laplacian
• Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
• Existence and nonexistence results for anisotropic quasilinear elliptic equations
• Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
• Continuous spectrum for a class of nonhomogeneous differential operators
• Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain
• Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Density of smooth functions in W ^{k, p(x)} ( Ω )
• OnL^p(x)norms
• Existence and multiplicity of solutions for an anisotropic elliptic problem involving variable exponent growth conditions
• 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
• Spectrum in an unbounded interval for a class of nonhomogeneous differential operators
• ON IMBEDDING, CONTINUATION AND APPROXIMATION THEOREMS FOR DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES
• A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
• Regularity results for a class of functionals with non-standard growth
• Mathematical modeling of electrorheological materials

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