Nonlinear parabolic equation having nonstandard growth condition with respect to the gradient and variable exponent

DOI10.7494/OPMATH.2021.41.1.25zbMath1469.35086OpenAlexW3128623441MaRDI QIDQ5004060

Nour Eddine Alaa, Houda Fahim, Abderrahim Charkaoui

Publication date: 30 July 2021

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2021.41.1.25

zbMATH Keywords

subsolutionsub- and supersolution methodSchaeffer's fixed point

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Fixed-point theorems (47H10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Quasilinear parabolic equations (35K59) Quasilinear parabolic equations with mean curvature operator (35K93) Topological and monotonicity methods applied to PDEs (35A16)

Related Items (9)

Nonnegative weak solution for a periodic parabolic equation with bounded Radon measure ⋮ Periodic parabolic problem with discontinuous coefficients: Mathematical analysis and numerical simulation ⋮ Periodic parabolic equation involving singular nonlinearity with variable exponent ⋮ An \(L^1\)-theory for a nonlinear temporal periodic problem involving \(p(x)\)-growth structure with a strong dependence on gradients ⋮ Integral solution for a parabolic equation driven by the \(p(x)\)-Laplacian operator with nonlinear boundary conditions and \(L^1\) data ⋮ Parabolic equation driven by general differential operators with variable exponents and degenerate nonlinearities: application to image restoration ⋮ Existence and uniqueness of renormalized periodic solution to a nonlinear parabolic problem with variable exponent and \(L^1\) data ⋮ Parabolic systems driven by general differential operators with variable exponents and strong nonlinearities with respect to the gradient ⋮ Time periodic solutions for strongly nonlinear parabolic systems with \(p(x)\)-growth conditions

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