Add to ORKGestimates for some semilinear elliptic problem with critical nonlinearity ∗ Pierpaolo Esposito† We study compactness properties for solutions of a semilinear elliptic equation with cri-tical nonlinearity. For high dimensions, we are able to show that any solutions sequence with uniformly bounded energy is uniformly bounded in the interior of the domain. In particular, singularly perturbed Neumann equations admit pointwise concentration phe-nomena only at the boundary
AbstractLet Ω be a bounded domain in RN, N⩾2, with smooth boundary ∂Ω. We construct positive weak so...
We exhibit new concentration phenomena for the equation -epsilon(2)Deltau + u = u(p) in a smooth bou...
We show that the critical problem{ −∆u+ λu = u2∗−1 + auq−1, u> 0 in Ω, ∂u ∂ν = 0 on ∂Ω, 2 < q ...
We study compactness properties for solutions of a semilinear elliptic equation with critical nonlin...
Sequences of positive solutions to semilinear elliptic equations of critical exponential growth in t...
AbstractSequences of positive solutions to semilinear elliptic equations of critical exponential gro...
We prove existence of nontrivial solutions to semilinear fourth order problems at critical growth in...
AbstractWe are interested in nontrivial solutions of the equation:−Δu+χ[u>0]u−β=λup,u⩾0inΩ, with u=0...
We establish existence results and energy estimates of solutions for a homogeneous Neumann problem i...
Abstract. We prove existence of nontrivial solutions to semilinear fourth order prob-lems at critica...
A semilinear elliptic problem containing both a singularity and a critical growth term is considered...
We studied some semilinear elliptic equations on the entire space R^N. Our approach was variational,...
Abstract One of the major difficulties in nonlinear elliptic problems involving critical nonlinearit...
We study the behavior near the origin of C2 positive solutions u(x) and v(x) of the system 0 ≤ −∆u ≤...
AbstractIn contrast with the subcritical case, we prove that for any bounded domain Ω in R3, the Neu...
AbstractLet Ω be a bounded domain in RN, N⩾2, with smooth boundary ∂Ω. We construct positive weak so...
We exhibit new concentration phenomena for the equation -epsilon(2)Deltau + u = u(p) in a smooth bou...
We show that the critical problem{ −∆u+ λu = u2∗−1 + auq−1, u> 0 in Ω, ∂u ∂ν = 0 on ∂Ω, 2 < q ...
We study compactness properties for solutions of a semilinear elliptic equation with critical nonlin...
Sequences of positive solutions to semilinear elliptic equations of critical exponential growth in t...
AbstractSequences of positive solutions to semilinear elliptic equations of critical exponential gro...
We prove existence of nontrivial solutions to semilinear fourth order problems at critical growth in...
AbstractWe are interested in nontrivial solutions of the equation:−Δu+χ[u>0]u−β=λup,u⩾0inΩ, with u=0...
We establish existence results and energy estimates of solutions for a homogeneous Neumann problem i...
Abstract. We prove existence of nontrivial solutions to semilinear fourth order prob-lems at critica...
A semilinear elliptic problem containing both a singularity and a critical growth term is considered...
We studied some semilinear elliptic equations on the entire space R^N. Our approach was variational,...
Abstract One of the major difficulties in nonlinear elliptic problems involving critical nonlinearit...
We study the behavior near the origin of C2 positive solutions u(x) and v(x) of the system 0 ≤ −∆u ≤...
AbstractIn contrast with the subcritical case, we prove that for any bounded domain Ω in R3, the Neu...
AbstractLet Ω be a bounded domain in RN, N⩾2, with smooth boundary ∂Ω. We construct positive weak so...
We exhibit new concentration phenomena for the equation -epsilon(2)Deltau + u = u(p) in a smooth bou...
We show that the critical problem{ −∆u+ λu = u2∗−1 + auq−1, u> 0 in Ω, ∂u ∂ν = 0 on ∂Ω, 2 < q ...