The existence of positive solutions to the Choquard equation with critical exponent and logarithmic term

DOI10.1016/j.jmaa.2022.126737zbMath1501.35193OpenAlexW4300717000MaRDI QIDQ2097541

Juntao Lv, Yu He, Qihan He

Publication date: 14 November 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126737

zbMATH Keywords

existencecritical exponentDirichlet conditionChoquard equationlogarithmic term

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nodal solutions for the Choquard equation
• On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents
• On the Brézis-Nirenberg problem
• Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents
• An existence result for nonliner elliptic problems involving critical Sobolev exponent
• The role played by space dimension in elliptic critical problems
• A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms.
• Existence and qualitative properties of solutions for Choquard equations with a local term
• Some existence results for superlinear elliptic boundary value problems involving critical exponents
• Nontrivial solutions for nonlinear Schrödinger-Choquard equations with critical exponents
• Existence of a ground state solution for Choquard equation with the upper critical exponent
• Positive and sign changing solutions to a nonlinear Choquard equation
• A strong maximum principle for some quasilinear elliptic equations
• Multiple solutions for nonhomogeneous Choquard equation involving Hardy-Littlewood-Sobolev critical exponent
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Elliptic Partial Differential Equations of Second Order
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• On the Existence of Positive Solutions of Semilinear Elliptic Equations
• Choquard equations with critical nonlinearities
• Existence of groundstates for a class of nonlinear Choquard equations
• Positive solutions for nonlinear Choquard equation with singular nonlinearity
• Multiple solutions for logarithmic Schrödinger equations
• Existence of solutions for singular critical growth semilinear elliptic equations

This page was built for publication: The existence of positive solutions to the Choquard equation with critical exponent and logarithmic term