Existence of positive ground state solutions for the coupled Choquard system with potential
نویسندگان
چکیده
Abstract In this paper, we study the following coupled Choquard system in : where and , which denotes if . The function is a Riesz potential. By using Nehari manifold method, obtain existence of positive ground state solution case bounded potential periodic potential, respectively. particular, nonlinear term includes well‐studied less‐studied Moreover, it seems to be first result for
منابع مشابه
Existence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations
In this paper, we consider a coupled system of nonlinear fractional differential equations (FDEs), such that both equations have a particular perturbed terms. Using emph{Leray-Schauder} fixed point theorem, we investigate the existence and multiplicity of positive solutions for this system.
متن کاملExistence of ground state solutions for a class of nonlinear elliptic equations with fast increasing weight
This paper is devoted to get a ground state solution for a class of nonlinear elliptic equations with fast increasing weight. We apply the variational methods to prove the existence of ground state solution.
متن کاملexistence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations
in this paper, we consider a coupled system of nonlinear fractional differential equations (fdes), such that bothequations have a particular perturbed terms. using emph{leray-schauder} fixed point theorem, we investigate the existence and multiplicity of positive solutions for this system.
متن کاملExistence of infinitely many solutions for coupled system of Schrödinger-Maxwell's equations
متن کامل
Existence of nontrivial weak solutions for a quasilinear Choquard equation
We are concerned with the following quasilinear Choquard equation: [Formula: see text] where [Formula: see text], [Formula: see text] is the p-Laplacian operator, the potential function [Formula: see text] is continuous and [Formula: see text]. Here, [Formula: see text] is the Riesz potential of order [Formula: see text]. We study the existence of weak solutions for the problem above via the mo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2023
ISSN: ['1522-2616', '0025-584X']
DOI: https://doi.org/10.1002/mana.202100447