Necessary condition in a Brezis-Oswald-type problem for mixed local and nonlocal operators

DOI10.1016/j.aml.2022.108177zbMath1491.35250OpenAlexW4229453440WikidataQ114210491 ScholiaQ114210491MaRDI QIDQ2673736

Dimitri Mugnai, Eugenio Vecchi, Stefano Biagi

Publication date: 13 June 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108177

zbMATH Keywords

existenceuniqueness\(p\)-LaplacianDirichlet conditionfractional \(p\)-Laplacianoperators of mixed order

Mathematics Subject Classification ID

Boundary values of solutions to elliptic equations and elliptic systems (35J67) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (12)

Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems ⋮ Mixed local and nonlocal supercritical Dirichlet problems ⋮ 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 Choquard type equation involving mixed local and nonlocal operators ⋮ An Ahmad-Lazer-Paul-type result for indefinite mixed local-nonlocal problems ⋮ On a Brezis-Oswald-type result for degenerate Kirchhoff problems ⋮ A Brezis–Oswald approach for mixed local and nonlocal operators ⋮ A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators ⋮ Unnamed Item ⋮ Regularity results for solutions of mixed local and nonlocal elliptic equations

Cites Work

• Unnamed Item
• The Brezis-Oswald result for quasilinear Robin problems
• Optimal solvability for a nonlocal problem at critical growth
• The Bernstein technique for integro-differential equations
• Towards a Brezis-Oswald-type result for fractional problems with Robin boundary conditions
• Remarks on sublinear elliptic equations
• Mixed local and nonlocal elliptic operators: regularity and maximum principles
• On the regularity theory for mixed local and nonlocal quasilinear elliptic equations

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