Weighted stochastic field exponent Sobolev spaces and nonlinear degenerated elliptic problem with nonstandard growth

DOI10.15672/hujms.561682zbMath1488.46067arXiv1902.04814OpenAlexW3037469079MaRDI QIDQ5162959

Ismail Aydin, Cihan Unal

Publication date: 8 November 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04814

zbMATH Keywords

quasilinear elliptic equationpseudo-monotone operatorcompact embedding theoremweighted stochastic field exponent Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (2)

Existence and multiplicity of weak solutions for eigenvalue Robin problem with weighted \(p(.)\)-Laplacian ⋮ Three solutions to a Steklov problem involving the weighted \(p(\cdot)\)-Laplacian

Cites Work

• Unnamed Item
• Unnamed Item
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• Function spaces with a random variable exponent
• Lebesgue and Sobolev spaces with variable exponents
• Lebesgue spaces with variable exponent on a probability space
• The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values
• Overview of differential equations with non-standard growth
• Electrorheological fluids: modeling and mathematical theory
• Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients
• On the Sobolev-type inequality for Lebesgue spaces with a variable exponent
• THE NEHARI MANIFOLD APPROACH FOR DIRICHLET PROBLEM INVOLVING THE p(x)-LAPLACIAN EQUATION
• Pseudo-monotone operators and nonlinear elliptic boundary value problems on unbounded domains
• An Introduction to Partial Differential Equations
• Stochastic field exponent function spaces with applications

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