Existence and multiplicity of solutions for the equation with nonlocal integrodifferential operator

DOI10.1007/S40840-020-00995-8zbMath1462.49020OpenAlexW3080432185MaRDI QIDQ2021576

Fubao Zhang, Hui Zhang

Publication date: 27 April 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-00995-8

zbMATH Keywords

ground statemultiple solutionsvariational methodNehari manifoldnonlocal integrodifferential operator

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence of solutions for minimax problems (49J35) Boundary value problems for PDEs with pseudodifferential operators (35S15) Integro-differential operators (47G20)

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlocal diffusion and applications
• Hitchhiker's guide to the fractional Sobolev spaces
• The Nehari manifold for nonlocal elliptic operators involving concave-convex nonlinearities
• Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
• The Brezis-Nirenberg type problem involving the square root of the Laplacian
• Mountain pass solutions for non-local elliptic operators
• Characteristic values associated with a class of nonlinear second-order differential equations
• Periodic nonlinear Schrödinger equation with application to photonic crystals
• Ground states of nonlinear Schrödinger equations with potentials
• Bifurcation and multiplicity results for critical nonlocal fractional Laplacian problems
• Ground state solutions for some indefinite variational problems
• A nonlocal anisotropic model for phase transitions
• Fractional quantum mechanics and Lévy path integrals
• Sign-changing solutions for non-local elliptic equations with asymptotically linear term
• Infinitely many sign-changing solutions for a nonlocal problem
• Minimax theorems
• Variational methods for non-local operators of elliptic type
• A Brezis-Nirenberg result for non-local critical equations in low dimension
• Getting acquainted with the fractional Laplacian
• Dislocation dynamics in crystals: a macroscopic theory in a fractional Laplace setting
• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
• Superlinear nonlocal fractional problems with infinitely many solutions
• Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
• Nonlocal Operators with Applications to Image Processing
• Existence and multiplicity of solutions for superlinear fractional Schrödinger equations in ℝN
• On a Class of Nonlinear Second-Order Differential Equations
• Variational Methods for Nonlocal Fractional Problems
• Ground states for fractional Schrödinger equations with critical growth
• An Extension Problem Related to the Fractional Laplacian
• The Brezis-Nirenberg result for the fractional Laplacian
• Layer solutions in a half‐space for boundary reactions

This page was built for publication: Existence and multiplicity of solutions for the equation with nonlocal integrodifferential operator