The Dirichlet problem for the 1-Laplacian with a general singular term and L 1-data

DOI10.1088/1361-6544/abc65bzbMath1465.35230arXiv2003.09440OpenAlexW3012641412MaRDI QIDQ4986200

Marta Latorre, Francesco Petitta, Francescantonio Oliva, Sergio Segura de León

Publication date: 27 April 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.09440

zbMATH Keywords

Dirichlet problemexistence of solutionsuniqueness of solutions1-Laplacian

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 (6)

Nonlocal Lazer-McKenna-type problem perturbed by the Hardy's potential and its parabolic equivalence ⋮ 1-Laplacian type problems with strongly singular nonlinearities and gradient terms ⋮ On 1-Laplacian elliptic problems involving a singular term and an \(L^1\)-data ⋮ On some weighted 1-Laplacian problem on \(\mathbb{R}^N\) with singular behavior at the origin ⋮ Finite energy solutions for nonlinear elliptic equations with competing gradient, singular and \(L^1\) terms ⋮ A fractional Laplacian problem with mixed singular nonlinearities and nonregular data

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