Abstract
In this paper we prove the existence of distributional solutions to certain anisotropic nonlinear weighted elliptic equations with variable exponents, where the weight function belongs to the anisotropic Sobolev space with variable exponents and zero boundary. The functional setting involves anisotropic variable exponents Lebesgue–Sobolev spaces.
Acknowledgements
The author would like to thank the referees for their comments and suggestions.
References
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Articles in the same Issue
- Frontmatter
- B-essential spectra of 2 × 2 block operator matrix pencils
- New results on perturbations of p-adic linear operators
- Approximation by matrix transform means with respect to the character system of the group of 2-adic integers
- Pentactions and action representability in the category of reduced groups with action
- On interpolation of reflexive variable Lebesgue spaces on which the Hardy–Littlewood maximal operator is bounded
- Further inequalities for the 𝔸-numerical radius of certain 2 × 2 operator matrices
- A generalization of practical stability of nonlinear impulsive systems
- Properties of rational Fourier series and generalized Wiener class
- Some identities on degenerate hyperharmonic numbers
- Generalized Pohozhaev’s identity for radial solutions of p-Laplace equations
- Classes of trivial ring extensions and amalgamations subject to pseudo-almost valuation condition
- Anisotropic nonlinear weighted elliptic equations with variable exponents
- Finite groups in which every non-nilpotent subgroup is a TI-subgroup or has p;'-order
- Finite-time attractivity of strong solutions for generalized nonlinear abstract Rayleigh–Stokes equations
- Reproducing kernels and minimal solutions of elliptic equations
Articles in the same Issue
- Frontmatter
- B-essential spectra of 2 × 2 block operator matrix pencils
- New results on perturbations of p-adic linear operators
- Approximation by matrix transform means with respect to the character system of the group of 2-adic integers
- Pentactions and action representability in the category of reduced groups with action
- On interpolation of reflexive variable Lebesgue spaces on which the Hardy–Littlewood maximal operator is bounded
- Further inequalities for the 𝔸-numerical radius of certain 2 × 2 operator matrices
- A generalization of practical stability of nonlinear impulsive systems
- Properties of rational Fourier series and generalized Wiener class
- Some identities on degenerate hyperharmonic numbers
- Generalized Pohozhaev’s identity for radial solutions of p-Laplace equations
- Classes of trivial ring extensions and amalgamations subject to pseudo-almost valuation condition
- Anisotropic nonlinear weighted elliptic equations with variable exponents
- Finite groups in which every non-nilpotent subgroup is a TI-subgroup or has p;'-order
- Finite-time attractivity of strong solutions for generalized nonlinear abstract Rayleigh–Stokes equations
- Reproducing kernels and minimal solutions of elliptic equations