Existence and concentration of ground state solutions for a class of nonlocal problem in \(\mathbb{R}^N\)

DOI10.1016/J.NA.2020.112170zbMath1459.35166OpenAlexW3093081031MaRDI QIDQ1995021

Xiaotao Qian, Wen Chao

Publication date: 18 February 2021

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.2020.112170

zbMATH Keywords

variational methodsnonlocal problemexistence of ground state solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20)

Related Items (6)

Positive Ground State Solutions for a Critical Nonlocal Problem in Dimension Three ⋮ Multiple positive solutions and estimates of extremal values for a nonlocal problem with critical Sobolev exponent and concave-convex nonlinearities ⋮ Positive solution for a nonlocal problem with strong singular nonlinearity ⋮ Existence and concentration of ground state solutions for Kirchhoff type equations with general nonlinearities ⋮ Multiple positive solutions for Kirchhoff-type problems involving supercritical and critical terms ⋮ Multiple nontrivial solutions for a nonlocal problem with sublinear nonlinearity

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