A Brezis–Oswald approach for mixed local and nonlocal operators
DOI10.1142/s0219199722500572arXiv2103.11382OpenAlexW4292245552WikidataQ114072629 ScholiaQ114072629MaRDI QIDQ6154983
Stefano Biagi, Eugenio Vecchi, Dimitri Mugnai
Publication date: 16 February 2024
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.11382
strong maximum principleexistence and uniqueness of solutions\(L^\infty\)-estimateoperators of mixed order\(p\)-sublinear Dirichlet problems
Boundary value problems for second-order elliptic equations (35J25) Maximum principles in context of PDEs (35B50) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Cites Work
- Unnamed Item
- Unnamed Item
- The Brezis-Oswald result for quasilinear Robin problems
- Local behavior of fractional \(p\)-minimizers
- Lipschitz regularity of solutions for mixed integro-differential equations
- Hitchhiker's guide to the fractional Sobolev spaces
- Convexity properties of Dirichlet integrals and Picone-type inequalities
- Simplicity of principal eigenvalue for \(p\)-Laplace operator with singular indefinite weight
- The maximum principle
- Second-order elliptic integro-differential equations: viscosity solutions' theory revisited
- Functional analysis, Sobolev spaces and partial differential equations
- Optimal solvability for a nonlocal problem at critical growth
- Variational methods for non-local operators of elliptic type
- Neumann fractional \(p\)-Laplacian: eigenvalues and existence results
- A limiting problem for local/non-local \(p\)-Laplacians with concave-convex nonlinearities
- Towards a Brezis-Oswald-type result for fractional problems with Robin boundary conditions
- Necessary condition in a Brezis-Oswald-type problem for mixed local and nonlocal operators
- Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
- Remarks on sublinear elliptic equations
- A Picone's identity for the p-Laplacian and applications
- A First Course in Sobolev Spaces
- Mixed local and nonlocal elliptic operators: regularity and maximum principles
- A system of local/nonlocal p-Laplacians: The eigenvalue problem and its asymptotic limit as p → ∞
- Linear theory for a mixed operator with Neumann conditions
- On the regularity theory for mixed local and nonlocal quasilinear elliptic equations
- Semilinear elliptic equations involving mixed local and nonlocal operators
- Fractional p-eigenvalues
- (Non)local logistic equations with Neumann conditions
This page was built for publication: A Brezis–Oswald approach for mixed local and nonlocal operators
