Sharp regularity estimates for quasi-linear elliptic dead core problems and applications

DOI10.1007/s00526-018-1344-8zbMath1398.35081OpenAlexW2800739768WikidataQ129968953 ScholiaQ129968953MaRDI QIDQ1650892

João Vítor da Silva, Ariel Martin Salort

Publication date: 16 July 2018

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-018-1344-8

zbMATH Keywords

free boundary problem\(p\)-Laplacianregularity estimatesdead core problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Quasilinear elliptic equations (35J62)

Related Items

Geometric estimates for doubly nonlinear parabolic PDEs, A system of local/nonlocal p-Laplacians: The eigenvalue problem and its asymptotic limit as p → ∞, Fully nonlinear singularly perturbed models with non-homogeneous degeneracy, Optimality problems in Orlicz spaces, Geometric regularity estimates for fully nonlinear elliptic equations with free boundaries, Sharp regularity estimates for quasilinear evolution equations, Geometric gradient estimates for fully nonlinear models with non-homogeneous degeneracy and applications, Regularity for degenerate evolution equations with strong absorption, A limiting problem for local/non-local \(p\)-Laplacians with concave-convex nonlinearities, The obstacle problem for a class of degenerate fully nonlinear operators, Geometric \(C^{1 + \alpha}\) regularity estimates for nonlinear evolution models, Caccioppoli-type estimates and Hardy-type inequalities derived from weighted \(p\)-harmonic problems, Regularity properties for p−dead core problems and their asymptotic limit as p→∞

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