Eigenvalues for a combination between local and nonlocal \(p\)-Laplacians

DOI10.1515/fca-2019-0074zbMath1439.35545arXiv1803.07988OpenAlexW2997520218WikidataQ126586343 ScholiaQ126586343MaRDI QIDQ2173486

Leandro M. Del Pezzo, Julio D. Rossi, Raúl Ferreira

Publication date: 23 April 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.07988

zbMATH Keywords

eigenvaluesfractional calculus\(p\)-Laplacian

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Integro-differential operators (47G20) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (13)

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 ⋮ Existence and multiplicity of solutions for a mixed local-nonlocal system with logarithmic nonlinearities ⋮ A Faber-Krahn inequality for mixed local and nonlocal operators ⋮ An Ahmad-Lazer-Paul-type result for indefinite mixed local-nonlocal problems ⋮ A nonlocal type problem involving a mixed local and nonlocal operator ⋮ A strong maximum principle for mixed local and nonlocal p-Laplace equations ⋮ Mixed local and nonlocal equation with singular nonlinearity having variable exponent ⋮ Mixed local and nonlocal Dirichlet \((p, q)\)-eigenvalue problem ⋮ A limiting problem for local/non-local \(p\)-Laplacians with concave-convex nonlinearities ⋮ On the second eigenvalue of combination between local and nonlocal 𝑝-Laplacian ⋮ Regularity results for solutions of mixed local and nonlocal elliptic equations

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