Weak solution for obstacle problem with variable growth

DOI10.1016/j.na.2004.02.032zbMath1064.46022OpenAlexW2008582891MaRDI QIDQ1888605

Yongqiang Fu

Publication date: 26 November 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.02.032

zbMATH Keywords

weak solutionobstacle problemvariable growth

Mathematics Subject Classification ID

Related Items (14)

Clifford valued weighted variable exponent spaces with an application to obstacle problems ⋮ Existence and multiplicity of weak solutions for eigenvalue Robin problem with weighted \(p(.)\)-Laplacian ⋮ Malliavin derivatives in spaces with variable exponents ⋮ The existence of solutions to the nonhomogeneous \(A\)-harmonic equations with variable exponent ⋮ Removable sets for Hölder continuous solutions of elliptic equations involving variable exponent ⋮ Weak solutions for elliptic systems with variable growth in Clifford analysis ⋮ Hodge decomposition of variable exponent spaces of Clifford-valued functions and applications to Dirac and Stokes equations ⋮ Navier-Stokes equations with variable viscosity in variable exponent spaces of Clifford-valued functions ⋮ Function spaces with a random variable exponent ⋮ On the porosity of the free boundary in the \(p(x)\)-obstacle problem ⋮ The stationary Navier-Stokes equations in variable exponent spaces of Clifford-valued functions ⋮ Variable exponent function spaces related to a sublinear expectation ⋮ Existence of weak solutions for some nonlinear elliptic equations with variable exponents ⋮ Existence of stationary states for \(A\)-Dirac equations with variable growth

Cites Work

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• Weighted inequalities and degenerate elliptic partial differential equations
• The Dirichlet problem with \(L^ 2\)-boundary data for elliptic linear equations
• Solvability of Dirichlet problem for a class of degenerate nonlinear high-order equations with \(L^1\)-data.
• The quasi-minimizer of integral functionals with \(m(x)\) growth conditions
• Weighted Sobolev spaces
• A class of De Giorgi type and Hölder continuity
• The existence of solutions for elliptic systems with nonuniform growth

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