Open AccessGround state solution for a class of supercritical nonlocal equations with variable exponent
Author(s) -
Xiaojing Feng
Publication year - 2021
Publication title -
electronic journal on the qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2021.1.59
Subject(s) - supercritical fluid , mathematics , exponent , class (philosophy) , critical point (mathematics) , variable (mathematics) , critical exponent , mathematical analysis , poisson distribution , statistical physics , physics , thermodynamics , scaling , geometry , statistics , linguistics , philosophy , artificial intelligence , computer science
In this paper, we obtain the existence of positive critical point with least energy for a class of functionals involving nonlocal and supercritical variable exponent nonlinearities by applying the variational method and approximation techniques. We apply our results to the supercritical Schrödinger–Poisson type systems and supercritical Kirchhoff type equations with variable exponent, respectively.