Existence of solutions to an initial Dirichlet problem of evolutional \(p(x)\)-Laplace equations
DOI10.1016/j.anihpc.2012.01.001zbMath1255.35153OpenAlexW2024700524MaRDI QIDQ432266
Chunling Cao, Hongjun Yuan, Wen-jie Gao, Song Zhe Lian
Publication date: 4 July 2012
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.anihpc.2012.01.001
PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Quasilinear parabolic equations with (p)-Laplacian (35K92)
Related Items (45)
Cites Work
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- Degenerate parabolic equations
- Regularity results for parabolic systems related to a class of non-Newtonian fluids.
- Regularity results for stationary electro-rheological fluids
- On the Cauchy problem and initial traces for the evolution \(p\)-Laplacian equations with strongly nonlinear sources
- Anisotropic parabolic equations with variable nonlinearity
- Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
- On the density of smooth functions in Sobolev-Orlicz spaces
- ON PASSAGE TO THE LIMIT IN NONLINEAR VARIATIONAL PROBLEMS
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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