The existence of weak solutions for parabolic variational inequalities with(p(x,t), q(x,t))-growth

DOI10.1080/00036811.2012.755735zbMath1286.35068OpenAlexW2044085204MaRDI QIDQ5413827

Mingqi Xiang, Yongqiang Fu

Publication date: 2 May 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2012.755735

zbMATH Keywords

penalty methodparabolic variational inequalityvariable exponent space

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Parabolic equations and parabolic systems (35K99) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Related Items (1)

Global existence and asymptotic behavior of weak solutions for time-space fractional Kirchhoff-type diffusion equations

Cites Work

• Lebesgue and Sobolev spaces with variable exponents
• Existence of solutions of the parabolic variational inequality with variable exponent of nonlinearity
• Solvability of the three-dimensional thermistor problem
• Uniqueness of solutions of the parabolic variational inequality with variable exponent of nonlinearity
• Obstacle problem for nonlinear parabolic equations
• Existence of solutions for nonlinear parabolic problem with \(p(x)\)-growth
• Analysis of the free boundary for the \(p\)-parabolic variational problem \((p\geq 2)\)
• Anisotropic parabolic equations with variable nonlinearity
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• On the existence of weak solutions for quasilinear parabolic initial-boundary value problems
• Variable Exponent, Linear Growth Functionals in Image Restoration
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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