Hölder regularity for the general parabolic \(p(x, t)\)-Laplacian equations

DOI10.1007/s00030-014-0277-yzbMath1327.35229OpenAlexW2466072675MaRDI QIDQ2017726

Feng-Ping Yao

Publication date: 23 March 2015

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-014-0277-y

zbMATH Keywords

gradientHölder regularity\(p(x,t)\)-Laplacian

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (15)

The boundary value condition of an evolutionary \(p(x)\)-Laplacian equation ⋮ Harnack's inequality for singular parabolic equations with generalized Orlicz growth under the non-logarithmic Zhikov's condition ⋮ On the continuity of solutions of quasilinear parabolic equations with generalized Orlicz growth under non-logarithmic conditions ⋮ Global a priori bounds for weak solutions to quasilinear parabolic equations with nonstandard growth ⋮ On the continuity of solutions of the nonhomogeneous evolution \(p(x, t)\)-Laplace equation ⋮ Harnack's inequality for degenerate double phase parabolic equations under the non-logarithmic Zhikov's condition ⋮ \( {\mathfrak{B}}_1\) classes of De Giorgi, Ladyzhenskaya, and Ural'tseva and their application to elliptic and parabolic equations with nonstandard growth ⋮ Strong solutions of evolution equations with \(p(x,t)\)-Laplacian: existence, global higher integrability of the gradients and second-order regularity ⋮ The evolutionary \(p(x)\)-Laplacian equation with a partial boundary value condition ⋮ Higher regularity of solutions of singular parabolic equations with variable nonlinearity ⋮ On an anisotropic parabolic equation on the domain with a disjoint boundary ⋮ Lipschitz regularity for viscosity solutions to parabolic \({p(x,t)}\)-Laplacian equations on Riemannian manifolds ⋮ Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity ⋮ Positive solutions of a nonlinear parabolic equation with double variable exponents ⋮ On the weak characteristic function method for a degenerate parabolic equation

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