Solutions for a class of quasilinear Choquard equations with Hardy-Littlewood-Sobolev critical nonlinearity
DOI10.1016/j.na.2020.111888zbMath1442.35139OpenAlexW3014365272MaRDI QIDQ2188518
Sihua Liang, Lixi Wen, Binlin Zhang
Publication date: 11 June 2020
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2020.111888
existence of solutionsvariational methodconcentration-compactness principlecritical nonlinearityquasilinear Choquard equation
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)
Related Items (6)
Cites Work
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- Existence of semiclassical states for a quasilinear Schrödinger equation with critical exponent in \(\mathbb{R}^N\)
- On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Quasilinear Schrödinger equations involving concave and convex nonlinearities
- Solutions for a quasilinear Schrödinger equation: a dual approach.
- The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
- Doubly nonlocal system with Hardy-Littlewood-Sobolev critical nonlinearity
- Soliton solutions for quasilinear Schrödinger equations. II.
- Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents
- Soliton solutions to Kirchhoff type problems involving the critical growth in \(\mathbb R^N\)
- Ground state solutions for quasilinear Schrödinger equations with variable potential and superlinear reaction
- Existence and non-existence results for Kirchhoff-type problems with convolution nonlinearity
- Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions
- Existence results for Schrödinger-Choquard-Kirchhoff equations involving the fractional \(p\)-Laplacian
- Infinitely many solutions for a class of critical Choquard equation with zero mass
- Multiple solutions for nonhomogeneous Choquard equation involving Hardy-Littlewood-Sobolev critical exponent
- Choquard-type equations with Hardy-Littlewood-Sobolev upper-critical growth
- Existence of solutions for Kirchhoff type problems with critical nonlinearity in \(\mathbb R^3\)
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- Solutions of perturbed Schrödinger equations with critical nonlinearity
- Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Evolution theorem for a class of perturbed envelope soliton solutions
- The Choquard equation and related questions
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
- On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent
- Extrema problems with critical sobolev exponents on unbounded domains
- Fractional magnetic Schrödinger‐Kirchhoff problems with convolution and critical nonlinearities
- Existence of solutions for critical Choquard equations via the concentration-compactness method
- Existence of groundstates for a class of nonlinear Choquard equations
- Existence, multiplicity, and concentration of positive solutions for a quasilinear Choquard equation with critical exponent
- A critical fractional Choquard–Kirchhoff problem with magnetic field
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