Solutions in Lebesgue spaces to nonlinear elliptic equations with subnatural growth terms

DOI10.1090/spmj/1614zbMath1437.35411arXiv1811.10163OpenAlexW3021866532MaRDI QIDQ5108698

Igor E. Verbitsky, Adisak Seesanea

Publication date: 6 May 2020

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.10163

zbMATH Keywords

existence of positive solutionsquasilinear elliptic equation\(p\)-Lapacian

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (6)

Existence of minimal solutions to quasilinear elliptic equations with several sub-natural growth terms ⋮ Minimal \(L^p\)-solutions to singular sublinear elliptic problems ⋮ Quasilinear elliptic equations with sub-natural growth terms in bounded domains ⋮ Quasilinear elliptic equations with sub-natural growth terms and nonlinear potential theory ⋮ The Dirichlet problem for sublinear elliptic equations with source ⋮ Wolff's inequality for intrinsic nonlinear potentials and quasilinear elliptic equations

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