Add to ORKGIn this article we study the fractional Schr\"odinger equations $$ (-\Delta)^{\alpha}u+V(x)u=f(x,u) \quad\text{in }\mathbb{R}^{N}, $$ where $0<\alpha<1$, $N\geq2$, $(-\Delta)^{\alpha}$ stands for the fractional Laplacian of order $\alpha$. First by using Morse theory in combination with local linking arguments, we prove the existence of at least two nontrivial solutions. Next we prove that the problem has k distinct pairs of solutions by using the Clark theorem
In this paper we deal with the following fractional p&q-Laplacian problem: {(−Δ)psu+(−Δ)qsu+V(εx)(|u...
Abstract In this paper, we apply Morse theory, local linking arguments and the Clark theorem to a st...
In this paper we study the existence and the multiplicity of positive solutions for the following cl...
In this article, we study the nonlinear fractional Schrodinger equation $$\displaylines{ (-\Delta...
Using variational methods we prove the existence of infinitely many solutions to the fractional S...
This paper is concerned with the following fractional Schrödinger equation {(-Δ)su+u=k(x)f(u)+h(x)in...
By using the penalization method and the Ljusternik–Schnirelmann theory, we investigate the multipli...
In article we consider problems modeled by the non-local fractional Laplacian equation $$\display...
This paper deals with the following class of nonlocal Schr\"odinger equations $$(-\Delta)s u + u = ...
The multiplicity of classical solutions for impulsive fractional differential equations has been stu...
Abstract This paper is devoted to studying the following nonlinear fractional problem: 0.1 { ( − Δ )...
The paper deals with the existence of multiple solutions for a boundary value problem driven by the ...
In this article, we show the existence of infinitely many solutions for the fractional p-Laplacian ...
We consider the following class of fractional Schrodinger equations: (-Delta)(alpha)u + V(x)u = K(x)...
In this article we study a class of fractional Laplace equations which do not satisfy the Ambrosett...
In this paper we deal with the following fractional p&q-Laplacian problem: {(−Δ)psu+(−Δ)qsu+V(εx)(|u...
Abstract In this paper, we apply Morse theory, local linking arguments and the Clark theorem to a st...
In this paper we study the existence and the multiplicity of positive solutions for the following cl...
In this article, we study the nonlinear fractional Schrodinger equation $$\displaylines{ (-\Delta...
Using variational methods we prove the existence of infinitely many solutions to the fractional S...
This paper is concerned with the following fractional Schrödinger equation {(-Δ)su+u=k(x)f(u)+h(x)in...
By using the penalization method and the Ljusternik–Schnirelmann theory, we investigate the multipli...
In article we consider problems modeled by the non-local fractional Laplacian equation $$\display...
This paper deals with the following class of nonlocal Schr\"odinger equations $$(-\Delta)s u + u = ...
The multiplicity of classical solutions for impulsive fractional differential equations has been stu...
Abstract This paper is devoted to studying the following nonlinear fractional problem: 0.1 { ( − Δ )...
The paper deals with the existence of multiple solutions for a boundary value problem driven by the ...
In this article, we show the existence of infinitely many solutions for the fractional p-Laplacian ...
We consider the following class of fractional Schrodinger equations: (-Delta)(alpha)u + V(x)u = K(x)...
In this article we study a class of fractional Laplace equations which do not satisfy the Ambrosett...
In this paper we deal with the following fractional p&q-Laplacian problem: {(−Δ)psu+(−Δ)qsu+V(εx)(|u...
Abstract In this paper, we apply Morse theory, local linking arguments and the Clark theorem to a st...
In this paper we study the existence and the multiplicity of positive solutions for the following cl...