$$ -{ m div }(|abla u|^{m-2}abla u) = lambda h u^q+u^{m^*-1},quad{ m in}quad R^N,. $$ Using the Ekeland Variational Principle and the Mountain Pass Theorem, we show the existence of $lambda ^*>0$ such that there are at least two non-negative solutions for each $lambda$ in $(0,lambda ^*)$
In this work we study the existence of multiple positive solutions for a system of elliptic equation...
We study multiplicity of solutions of the following elliptic problems in which critical and supercri...
We study the degenerate elliptic equation div(a(x)ru) + b(x)u = K(x)jujp2u + g(x) in RN; where N 2 ...
This article concerns with the problem −div(jrujm−2ru) = huq + um −1; in RN: Using the Ekeland Vari...
AbstractIn this paper, we study the decomposition of the Nehari manifold via the combination of conc...
AbstractIn this paper, we establish the existence of multiple positive solutions for elliptic equati...
We prove the existence of at least two distinct solutions of problem (1), (2) under some restriction...
We prove the existence of a bounded positive solution of a semilinear elliptic equation involving a ...
From the viewpoint of the calculus of variations, the perturbed Kazdan-Warner problem: (1) −∆u+λu=k...
We establish multiple extence of positive solutions for parameterized nonhomogeneous elliptic equati...
In this paper, we consider the following Kirchhoff-type problems involving critical exponent −a+b∫Ω∇...
This article concerns the nonlocal problem $$\displaylines{ -\Big(a-b\int_{\mathbb{R}^4}|\nabla u|...
We study the degenerate elliptic equation $$ -\text{\rm div}(a(x)\nabla u)+b(x)u= K(x)\vert u\vert...
We consider the Neumann problem involving the critical Sobolev exponent and a nonhomogeneous boundar...
AbstractConsider the equation−Δpu=λg(x)|u|p−2u+f(x)|u|p*−2u ((1))in RN, where 1<p<Nandp*=Np/(N−p) is...
In this work we study the existence of multiple positive solutions for a system of elliptic equation...
We study multiplicity of solutions of the following elliptic problems in which critical and supercri...
We study the degenerate elliptic equation div(a(x)ru) + b(x)u = K(x)jujp2u + g(x) in RN; where N 2 ...
This article concerns with the problem −div(jrujm−2ru) = huq + um −1; in RN: Using the Ekeland Vari...
AbstractIn this paper, we study the decomposition of the Nehari manifold via the combination of conc...
AbstractIn this paper, we establish the existence of multiple positive solutions for elliptic equati...
We prove the existence of at least two distinct solutions of problem (1), (2) under some restriction...
We prove the existence of a bounded positive solution of a semilinear elliptic equation involving a ...
From the viewpoint of the calculus of variations, the perturbed Kazdan-Warner problem: (1) −∆u+λu=k...
We establish multiple extence of positive solutions for parameterized nonhomogeneous elliptic equati...
In this paper, we consider the following Kirchhoff-type problems involving critical exponent −a+b∫Ω∇...
This article concerns the nonlocal problem $$\displaylines{ -\Big(a-b\int_{\mathbb{R}^4}|\nabla u|...
We study the degenerate elliptic equation $$ -\text{\rm div}(a(x)\nabla u)+b(x)u= K(x)\vert u\vert...
We consider the Neumann problem involving the critical Sobolev exponent and a nonhomogeneous boundar...
AbstractConsider the equation−Δpu=λg(x)|u|p−2u+f(x)|u|p*−2u ((1))in RN, where 1<p<Nandp*=Np/(N−p) is...
In this work we study the existence of multiple positive solutions for a system of elliptic equation...
We study multiplicity of solutions of the following elliptic problems in which critical and supercri...
We study the degenerate elliptic equation div(a(x)ru) + b(x)u = K(x)jujp2u + g(x) in RN; where N 2 ...