Existence,uniqueness, and nonexistence of solutions to nonlinear diffusion equations with \(p(x,t)\)-Laplacian operator

DOI10.1186/s13661-016-0657-9zbMathNoneOpenAlexW2513947759WikidataQ59466657 ScholiaQ59466657MaRDI QIDQ308541

Yanchao Gao, Ying Chu, Wen-jie Gao

Publication date: 6 September 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0657-9

zbMATH Keywords

Galerkin's approximationnonexistence of solutionsnonstandard growth condition

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Related Items (4)

The nonnegative weak solution of a degenerate parabolic equation with variable exponent growth order ⋮ Blow up in a semilinear pseudo-parabolic equation with variable exponents ⋮ A nonlinear diffusion problem with convection and anisotropic nonstandard growth conditions ⋮ The weak solutions of a doubly nonlinear parabolic equation related to the \(p(x)\)-Laplacian

Cites Work

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• Variable Exponent, Linear Growth Functionals in Image Restoration
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