An Ahmad-Lazer-Paul-type result for indefinite mixed local-nonlocal problems

DOI10.1016/j.jmaa.2023.127442zbMath1519.35356arXiv2305.02624OpenAlexW4378675238MaRDI QIDQ6112496

Eugenio Vecchi, Dimitri Mugnai, Gianmarco Giovannardi

Publication date: 7 August 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.02624

zbMATH Keywords

variational methodssaddle point theoremFountain theoremoperators of mixed order

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Integro-differential operators (47G20) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A resonance problem for non-local elliptic operators
• Hitchhiker's guide to the fractional Sobolev spaces
• Functional analysis, Sobolev spaces and partial differential equations
• On resonant Neumann problems
• Strong solutions to a modified Michelson-Sivashinsky equation
• Description of an ecological niche for a mixed local/nonlocal dispersal: an evolution equation and a new Neumann condition arising from the superposition of Brownian and Lévy processes
• Regularity results for solutions of mixed local and nonlocal elliptic equations
• On mixed local-nonlocal operators with \((\alpha, \beta)\)-Neumann conditions
• The Bernstein technique for integro-differential equations
• Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems
• Eigenvalues for a combination between local and nonlocal \(p\)-Laplacians
• Necessary condition in a Brezis-Oswald-type problem for mixed local and nonlocal operators
• On the mixed local-nonlocal Hénon equation.
• Higher Hölder regularity for mixed local and nonlocal degenerate elliptic equations
• Boundary regularity of mixed local-nonlocal operators and its application
• Boundary Harnack principle for $Δ+ Δ^{𝛼/2}$
• Nonlinear Resonance: a Comparison Between Landesman-Lazer and Ahmad-Lazer-Paul Conditions
• Variational Methods for Nonlocal Fractional Problems
• Mixed local and nonlocal elliptic operators: regularity and maximum principles
• Linear theory for a mixed operator with Neumann conditions
• On the regularity theory for mixed local and nonlocal quasilinear elliptic equations
• Variational methods for nonpositive mixed local-nonlocal operators
• A Faber-Krahn inequality for mixed local and nonlocal operators
• On a class of mixed local and nonlocal semilinear elliptic equation with singular nonlinearity

This page was built for publication: An Ahmad-Lazer-Paul-type result for indefinite mixed local-nonlocal problems