Nonlinear diffusion in transparent media: the resolvent equation

DOI10.1515/acv-2017-0002zbMath1497.35158arXiv1702.03746OpenAlexW3106439197MaRDI QIDQ1791523

Francesco Petitta, Lorenzo Giacomelli, Salvador Moll

Publication date: 10 October 2018

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03746

zbMATH Keywords

Dirichlet problemquasilinear elliptic equationNeumann problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

1-Laplacian type problems with strongly singular nonlinearities and gradient terms ⋮ Regularizing effect of absorption terms in singular problems ⋮ Finite energy solutions for nonlinear elliptic equations with competing gradient, singular and \(L^1\) terms ⋮ Anzellotti's pairing theory and the Gauss-Green theorem ⋮ The Dirichlet problem for singular elliptic equations with general nonlinearities

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