Nontrivial solutions for the Choquard equation with indefinite linear part and upper critical exponent

DOI10.3934/cpaa.2020078zbMath1435.35046OpenAlexW2990085958WikidataQ126538616 ScholiaQ126538616MaRDI QIDQ2300992

Ting Guo, Qi Zhang, Zu Gao, Xian Hua Tang

Publication date: 28 February 2020

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2020078

zbMATH Keywords

critical growthChoquard equationindefinitelocal nonlinear term

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Cites Work

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• A guide to the Choquard equation
• Stationary solutions of the Schrödinger-Newton model -- an ODE approach.
• On a periodic Schrödinger equation with nonlocal superlinear part
• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms
• The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
• Improved results for Klein-Gordon-Maxwell systems with general nonlinearity
• Existence and qualitative properties of solutions for Choquard equations with a local term
• Nontrivial solutions for Schrödinger equation with local super-quadratic conditions
• Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent
• Minimax theorems
• On spectral theory of elliptic operators
• Generalized linking theorem with an application to a semilinear Schrödinger equation
• Existence of a ground state solution for Choquard equation with the upper critical exponent
• Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations
• Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions
• On the planar Schrödinger-Poisson system with the axially symmetric potential
• Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials
• Non-Nehari manifold method for asymptotically periodic Schrödinger equations
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• On a semilinear Schrödinger equation with critical Sobolev exponent
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On regular solutions of a nonlinear equation of Choquard's type
• The Choquard equation and related questions
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Strict definiteness of integrals via complete monotonicity of derivatives
• Spherically-symmetric solutions of the Schrödinger-Newton equations
• AN ASYMPTOTICALLY PERIODIC SCHRÖDINGER EQUATION WITH INDEFINITE LINEAR PART
• NON-NEHARI-MANIFOLD METHOD FOR ASYMPTOTICALLY LINEAR SCHRÖDINGER EQUATION

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