A limiting problem for local/non-local \(p\)-Laplacians with concave-convex nonlinearities

DOI10.1007/s00033-020-01419-0zbMath1471.35165OpenAlexW3094714547MaRDI QIDQ2025452

Ariel Martin Salort, João Vítor da Silva

Publication date: 14 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-01419-0

zbMATH Keywords

existence of positive solutionsHölder \(\infty\)-Laplacian and \(\infty\)-Laplacianlocal/non-local \(p\)-Laplaciansuniform bounds of solutionsuniform regularity of solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (8)

Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems ⋮ A system of local/nonlocal p-Laplacians: The eigenvalue problem and its asymptotic limit as p → ∞ ⋮ Variational methods for nonpositive mixed local-nonlocal operators ⋮ A Faber-Krahn inequality for mixed local and nonlocal operators ⋮ Klein-Gordon-Maxwell equations driven by mixed local-nonlocal operators ⋮ A Brezis–Oswald approach for mixed local and nonlocal operators ⋮ Gradient regularity in mixed local and nonlocal problems ⋮ Mixed local and nonlocal Dirichlet \((p, q)\)-eigenvalue problem

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