AbstractWe consider superlinear p-Laplacian equations in RN with a potential which is periodic or has a bounded potential well. Without assuming the Ambrosetti–Rabinowitz type condition and the monotonicity of the function t↦f(x,t)|t|p−1, we prove the existence of ground states. Even for the case p=2, our results extend the recent results of Li, Wang and Zeng [Ann. Inst. H. Poincaré Anal. Non Linéaire 23 (2006) 829–837]
We consider Dirichlet boundary value problems for equations involving the (p(z), q(z))-Laplacian ope...
By a variant version of mountain pass theorem, the existence and multiplicity of solu-tions are obta...
AbstractUsing a new gradient estimate, we prove several theorems on the existence of radial ground s...
We consider superlinear p-Laplacian equations in RN with a potential which is periodic or has a boun...
AbstractWe consider superlinear p-Laplacian equations in RN with a potential which is periodic or ha...
In this paper we study ground states of the following fractional Schrödinger equation where s ∈ (0, ...
We consider radial solution $u(|x|)$, $x in RR^n$, of a $p$-Laplace equation with non-linear poten...
We consider the following equation $$Delta_p u( extbf{x})+ f(u,| extbf{x}|)=0,$$ where $ extbf{x}...
This paper is concerned with existence of ground and bound states for a class of nonlinear Schrodin...
The objective of our note is to prove that, at least for a convex domain, the ground state of the p-...
In this paper, we consider the following 1-Laplacian problem \[ -\Delta _1 u+V(x)\frac{u}{|u|}= f(x,...
AbstractIn this paper, we consider a p-Laplacian equation in RN with sign-changing potential and sub...
We consider periodic solutions for superlinear second order non-autonomous dynamical systems includi...
AbstractWe consider the nonlinear stationary Schrödinger equation −Δu+V(x)u=f(x,u) in RN. Here f is ...
We consider Dirichlet boundary value problems for equations involving the (p(z), q(z))-Laplacian ope...
By a variant version of mountain pass theorem, the existence and multiplicity of solu-tions are obta...
AbstractUsing a new gradient estimate, we prove several theorems on the existence of radial ground s...
We consider superlinear p-Laplacian equations in RN with a potential which is periodic or has a boun...
AbstractWe consider superlinear p-Laplacian equations in RN with a potential which is periodic or ha...
In this paper we study ground states of the following fractional Schrödinger equation where s ∈ (0, ...
We consider radial solution $u(|x|)$, $x in RR^n$, of a $p$-Laplace equation with non-linear poten...
We consider the following equation $$Delta_p u( extbf{x})+ f(u,| extbf{x}|)=0,$$ where $ extbf{x}...
This paper is concerned with existence of ground and bound states for a class of nonlinear Schrodin...
The objective of our note is to prove that, at least for a convex domain, the ground state of the p-...
In this paper, we consider the following 1-Laplacian problem \[ -\Delta _1 u+V(x)\frac{u}{|u|}= f(x,...
AbstractIn this paper, we consider a p-Laplacian equation in RN with sign-changing potential and sub...
We consider periodic solutions for superlinear second order non-autonomous dynamical systems includi...
AbstractWe consider the nonlinear stationary Schrödinger equation −Δu+V(x)u=f(x,u) in RN. Here f is ...
We consider Dirichlet boundary value problems for equations involving the (p(z), q(z))-Laplacian ope...
By a variant version of mountain pass theorem, the existence and multiplicity of solu-tions are obta...
AbstractUsing a new gradient estimate, we prove several theorems on the existence of radial ground s...
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