A pseudo-index approach to fractional equations

DOI10.1016/J.EXMATH.2014.12.001zbMath1357.35280OpenAlexW2114256928MaRDI QIDQ900744

Giovanni Molica Bisci, Rossella Bartolo

Publication date: 22 December 2015

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2014.12.001

zbMATH Keywords

variational methodsfractional Laplacianintegro-differential operatorasymptotically linear problempseudo-genus

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Variational methods applied to PDEs (35A15) Existence of solutions for minimax problems (49J35) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Boundary value problems for PDEs with pseudodifferential operators (35S15) Singular nonlinear integral equations (45G05) Integro-differential operators (47G20) Variational methods for eigenvalues of operators (49R05) Fractional partial differential equations (35R11)

Related Items (5)

A pseudo-index approach to fractional equations ⋮ Nonlinear equations involving the square root of the Laplacian ⋮ Asymptotically linear fractional \(p\)-Laplacian equations ⋮ Periodic solutions for nonlocal fractional equations ⋮ Periodic solutions for a fractional asymptotically linear problem

Cites Work

• Unnamed Item
• Existence of entire solutions for a class of quasilinear elliptic equations
• Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators
• A resonance problem for non-local elliptic operators
• Hitchhiker's guide to the fractional Sobolev spaces
• Saddle point solutions for non-local elliptic operators
• A further refinement of a three critical points theorem
• Mountain pass solutions for non-local elliptic operators
• A pseudo-index approach to fractional equations
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Functional analysis, Sobolev spaces and partial differential equations
• Critical point theory and Hamiltonian systems
• Variational methods for non-local operators of elliptic type
• Fractional equations with bounded primitive
• Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
• Perturbed asymptotically linear problems
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
• An Extension Problem Related to the Fractional Laplacian
• Variational Methods

This page was built for publication: A pseudo-index approach to fractional equations