This paper is concerned with the following nonlocal problem with combined critical nonlinearities $$ (-\Delta)^{s} u=-\alpha|u|^{q-2} u+\beta{u}+\gamma|u|^{2_{s}^{*}-2}u \quad \text{in}~\Omega, \quad \quad u=0 \quad \text{in}~\mathbb{R}^{N} \backslash \Omega, $$ where $s\in(0,1)$, $N>2s$, $\Omega\subset\mathbb{R}^N$ is a bounded $C^{1,1}$ domain with Lipschitz boundary, $\alpha$ is a positive parameter, $q \in(1,2)$, $\beta$ and $\gamma$ are positive constants, and $2_{s}^{*}=2 N /(N-2 s)$ is the fractional critical exponent. For $\gamma>0$, if $N\geqslant 4s$ and $02s$ and $\beta\geqslant\lambda_{1,s}$, we show that the problem possesses a ground state solution when $\alpha$ is sufficiently small
We are concerned with ground state solutions of the fractional problems with dipole-type potential a...
In this paper we focus on the following nonlocal problem with critical growth: {(-Δ)su=λu+u+2s∗-1+f(...
By means of variational methods we establish existence and multiplicity of solutions for a class of...
This article concerns the ground state solutions of nonlinear fractional Schrodinger equations invo...
In this paper we investigate the existence of nontrivial ground state solutions for the following fr...
In this paper we complete the study of the following non-local fractional equation involving critica...
We study the eigenvalue problem $$ (-\Delta)^s u(x)+ V(x)u(x)-K(x)|u|^{p-2}u(x) =\lambda u(x) \qu...
In this paper, we study on the fractional nonlocal equation with the logarithmic nonlinearity formed...
We consider the asymmetric critical fractional p-Laplacian problem $$\displaylines{ (-\Delta)^s_p ...
We consider the following fractional $p\&q$ Laplacian problem with critical Sobolev-Hardy exponents ...
In this article we consider the multiplicity and concentration behavior of positive solutions for t...
Abstract In this paper, we study the following critical system with fractional Laplacian: {(−Δ)su+λ1...
We prove the existence of a positive solution for nonlocal problems involving the fractional Laplaci...
Consider the following nonlocal integrodifferential system: LKu+λ1u+μ1u2⁎-2u+Gu(x,u,v)=0 in Ω, LK...
In this paper we prove the existence of a positive solution of the nonlinear and nonlocal elliptic e...
We are concerned with ground state solutions of the fractional problems with dipole-type potential a...
In this paper we focus on the following nonlocal problem with critical growth: {(-Δ)su=λu+u+2s∗-1+f(...
By means of variational methods we establish existence and multiplicity of solutions for a class of...
This article concerns the ground state solutions of nonlinear fractional Schrodinger equations invo...
In this paper we investigate the existence of nontrivial ground state solutions for the following fr...
In this paper we complete the study of the following non-local fractional equation involving critica...
We study the eigenvalue problem $$ (-\Delta)^s u(x)+ V(x)u(x)-K(x)|u|^{p-2}u(x) =\lambda u(x) \qu...
In this paper, we study on the fractional nonlocal equation with the logarithmic nonlinearity formed...
We consider the asymmetric critical fractional p-Laplacian problem $$\displaylines{ (-\Delta)^s_p ...
We consider the following fractional $p\&q$ Laplacian problem with critical Sobolev-Hardy exponents ...
In this article we consider the multiplicity and concentration behavior of positive solutions for t...
Abstract In this paper, we study the following critical system with fractional Laplacian: {(−Δ)su+λ1...
We prove the existence of a positive solution for nonlocal problems involving the fractional Laplaci...
Consider the following nonlocal integrodifferential system: LKu+λ1u+μ1u2⁎-2u+Gu(x,u,v)=0 in Ω, LK...
In this paper we prove the existence of a positive solution of the nonlinear and nonlocal elliptic e...
We are concerned with ground state solutions of the fractional problems with dipole-type potential a...
In this paper we focus on the following nonlocal problem with critical growth: {(-Δ)su=λu+u+2s∗-1+f(...
By means of variational methods we establish existence and multiplicity of solutions for a class of...