Quasi-linear variable exponent boundary value problems with Wentzell-Robin and Wentzell boundary conditions

DOI10.1016/j.jfa.2013.10.017zbMath1290.35125OpenAlexW2068669177MaRDI QIDQ2444413

Alejandro Vélez-Santiago

Publication date: 9 April 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2013.10.017

zbMATH Keywords

a priori estimatesweak solutionsWentzell boundary conditionsWentzell-Robin boundary conditions\(p(\cdot)\)-Laplace operator\(p(\cdot)\)-Laplace-Beltrami operatorfirst order Cauchy problemnonlinear submarkovian \(C_0\)-semigroupsquasi-linear variable exponent differential equationsultracontractivity property for nonlinear semigroups

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) (C)-semigroups, regularized semigroups (47D60) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (11)

Generalized anisotropic elliptic Wentzell problems with nonstandard growth conditions ⋮ Regularity results for nonlocal evolution Venttsel' problems ⋮ Approximation of a nonlinear fractal energy functional on varying Hilbert spaces ⋮ Transmission problems for the fractional \(p\)-Laplacian across fractal interfaces ⋮ Separable differential operators with parameters ⋮ Generalized anisotropic Neumann problems of Ambrosetti-Prodi type with nonstandard growth conditions ⋮ Fine regularity for elliptic and parabolic anisotropic Robin problems with variable exponents ⋮ On two-dimensional nonlocal Venttsel' problems in piecewise smooth domains ⋮ Quasi-linear Venttsel' problems with nonlocal boundary conditions on fractal domains ⋮ Fractional \((s,p)\)-Robin-Venttsel' problems on extension domains ⋮ Global regularity for a class of quasi-linear local and nonlocal elliptic equations on extension domains

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