Add to ORKGLet Ω ⊂ IRN, N ≥ 3 be bounded a domain with smooth boundary ∂Ω. Depend-ing on the parameters a, b, c ∈ IR; α, β> 1, we shall investigate the existence and non-existence of solutions for the following system of elliptic equations −∆u = au+ bv + 2
We study multiplicity of solutions of the following elliptic problems in which critical and supercri...
AbstractLet N⩾3 and Ω⊂RN be a bounded domain with a smooth boundary ∂Ω and consider the semilinear b...
In this paper we prove the existence of a weak solution to the following system△_p u = △_q v = 0 in ...
We establish conditions for existence and for nonexistence of nontrivial solutions to an elliptic sy...
AbstractLet Ω⊂RN be a smooth bounded domain such that 0∈Ω, N≥5, 0≤s<2, 2∗(s)=2(N−s)N−2. We prove the...
AbstractLet Ω⊂RN be a smooth bounded domain such that 0∈Ω, N⩾7, 0⩽s<2, 2∗(s)=2(N−s)/(N−2). We prove ...
We focus on the following elliptic system with critical Sobolev exponents: -div∇up-2∇u+m(x)up-2u=λ...
In this paper, we are concerned with the existence of positive solutions of the following nonlinear ...
AbstractWe consider the semilinear elliptic problem −Δu−μu|x|2=f(x,u)+K(x)|u|2*−2u in Ω, u=0 on ∂Ω, ...
This article concerns the existence of positive solutions to the nonlinear elliptic system involvin...
AbstractWe study the elliptic system{−Δu=u−pv−qin Ω,−Δv=u−rv−sin Ω,u=v=0on ∂Ω, in a bounded domain Ω...
AbstractIn this paper, we answer affirmatively an open problem (cf. Theorem 4′ in Ferrero and Gazzol...
International audienceWe consider an elliptic PDE with critical nonlinearity, and additonal subcriti...
We prove the existence of a bounded positive solution of a semilinear elliptic equation involving a ...
AbstractLet Ω be a smooth bounded domain in RN, with N⩾5, a>0, α⩾0 and 2∗=2NN−2. We show that the ex...
We study multiplicity of solutions of the following elliptic problems in which critical and supercri...
AbstractLet N⩾3 and Ω⊂RN be a bounded domain with a smooth boundary ∂Ω and consider the semilinear b...
In this paper we prove the existence of a weak solution to the following system△_p u = △_q v = 0 in ...
We establish conditions for existence and for nonexistence of nontrivial solutions to an elliptic sy...
AbstractLet Ω⊂RN be a smooth bounded domain such that 0∈Ω, N≥5, 0≤s<2, 2∗(s)=2(N−s)N−2. We prove the...
AbstractLet Ω⊂RN be a smooth bounded domain such that 0∈Ω, N⩾7, 0⩽s<2, 2∗(s)=2(N−s)/(N−2). We prove ...
We focus on the following elliptic system with critical Sobolev exponents: -div∇up-2∇u+m(x)up-2u=λ...
In this paper, we are concerned with the existence of positive solutions of the following nonlinear ...
AbstractWe consider the semilinear elliptic problem −Δu−μu|x|2=f(x,u)+K(x)|u|2*−2u in Ω, u=0 on ∂Ω, ...
This article concerns the existence of positive solutions to the nonlinear elliptic system involvin...
AbstractWe study the elliptic system{−Δu=u−pv−qin Ω,−Δv=u−rv−sin Ω,u=v=0on ∂Ω, in a bounded domain Ω...
AbstractIn this paper, we answer affirmatively an open problem (cf. Theorem 4′ in Ferrero and Gazzol...
International audienceWe consider an elliptic PDE with critical nonlinearity, and additonal subcriti...
We prove the existence of a bounded positive solution of a semilinear elliptic equation involving a ...
AbstractLet Ω be a smooth bounded domain in RN, with N⩾5, a>0, α⩾0 and 2∗=2NN−2. We show that the ex...
We study multiplicity of solutions of the following elliptic problems in which critical and supercri...
AbstractLet N⩾3 and Ω⊂RN be a bounded domain with a smooth boundary ∂Ω and consider the semilinear b...
In this paper we prove the existence of a weak solution to the following system△_p u = △_q v = 0 in ...