AbstractIn this paper we are concerned with the existence and concentration of positive solutions for the following class of elliptic system(S){−ϵ2Δu+W(x)u=Qu(u,v)inRN,−ϵ2Δv+V(x)v=Qv(u,v)inRN,u(x),v(x)→0as|x|→∞,u,v>0inRN, where V, W are nonnegative Hölder continuous functions and Q is a p-homogeneous function with 2<p<2N/(N−2) for N⩾3
AbstractUsing the well-known Mountain Pass Theorem due to Ambrosetti and Rabinowitz, we establish co...
dedicated to djairo g. de figueiredo In this paper we deal with semilinear elliptic problem of the f...
We consider a class of variational systems in RN of the form −u+ a(x)u = Fu(x; u; v) −v + b(x)v = Fv...
Abstract. In this paper we are concerned with the problem of finding solutions for the following non...
Using a version of the generalized mountain pass theorem, we obtain the existence of nontrivial sol...
In this paper we are concerned with the problem of finding solutions for the following nonlinear fi...
In this paper we are concerned with existence and behavior of positive solutions to the following cl...
We study through the lower and upper-solution method, the existence of positive weak solution to the...
AbstractWe study through the lower and upper-solution method, the existence of positive weak solutio...
Abstract. This study concerns the existence of positive solution for the following nonlinear system ...
Abstract. We prove the existence of a positive solution to the BVP (Φ(t)u′(t)) ′ = f(t, u(t)), u′(0...
AbstractThis paper is concerned with the existence of positive solutions to the class of p&q ellipti...
By using the mountain pass lemma, we study the existence of positive solutions for the equation−∆u(x...
We consider the system of differential equations \[ \begin{cases} -\Delta_{p(x)}u=\lambda^{p(x)}f(u,...
We consider the system −ε2 div (a(x)∇u)+u=Qu(u,v) in RN,−ε2 div (b(x)∇v)+v=Qv(u,v) in RN,u,v∈H1(RN)...
AbstractUsing the well-known Mountain Pass Theorem due to Ambrosetti and Rabinowitz, we establish co...
dedicated to djairo g. de figueiredo In this paper we deal with semilinear elliptic problem of the f...
We consider a class of variational systems in RN of the form −u+ a(x)u = Fu(x; u; v) −v + b(x)v = Fv...
Abstract. In this paper we are concerned with the problem of finding solutions for the following non...
Using a version of the generalized mountain pass theorem, we obtain the existence of nontrivial sol...
In this paper we are concerned with the problem of finding solutions for the following nonlinear fi...
In this paper we are concerned with existence and behavior of positive solutions to the following cl...
We study through the lower and upper-solution method, the existence of positive weak solution to the...
AbstractWe study through the lower and upper-solution method, the existence of positive weak solutio...
Abstract. This study concerns the existence of positive solution for the following nonlinear system ...
Abstract. We prove the existence of a positive solution to the BVP (Φ(t)u′(t)) ′ = f(t, u(t)), u′(0...
AbstractThis paper is concerned with the existence of positive solutions to the class of p&q ellipti...
By using the mountain pass lemma, we study the existence of positive solutions for the equation−∆u(x...
We consider the system of differential equations \[ \begin{cases} -\Delta_{p(x)}u=\lambda^{p(x)}f(u,...
We consider the system −ε2 div (a(x)∇u)+u=Qu(u,v) in RN,−ε2 div (b(x)∇v)+v=Qv(u,v) in RN,u,v∈H1(RN)...
AbstractUsing the well-known Mountain Pass Theorem due to Ambrosetti and Rabinowitz, we establish co...
dedicated to djairo g. de figueiredo In this paper we deal with semilinear elliptic problem of the f...
We consider a class of variational systems in RN of the form −u+ a(x)u = Fu(x; u; v) −v + b(x)v = Fv...