AbstractA family of elliptic operators with discontinuous nonlinearity affected by the presence of a positive parameter λ is considered. A critical value λc of λ and the zero-set Ec of the corresponding critical solution uλc play a special role in the treatment of these operators. Sharp estimates for λc, as a functional of boundary functions, are given and the structure of Ec is investigated. An asymptotic formula for the solution uλ and its free boundary is presented, as λ → +∞
The critical exponents of nonlinear elliptic equations, which are perturbations of homogeneous probl...
AbstractVia delicate estimates, we characterize an exact growth order near zero for positive solutio...
AbstractWe study the boundary value problem of the quasi-linear elliptic equationdiv(|∇u|m−2∇u)+f(x,...
AbstractWe study a nonlinear elliptic problem with discontinuous nonlinearity(P)-Δu=f(u)H(μ-u)inΩ,u=...
We study the existence of positive solutions of a linear elliptic equation with critical Sobolev exp...
In this paper an existence theorem of positive solutions to the Dirichlet prob-lem for elliptic equa...
AbstractWe consider positive solutions uε of a family of elliptic boundary value Problems (Iε). As ε...
AbstractWe study positive solutions of the equationΔu=|x|αu−pin Ω⊂RN(N⩾2), where p>0, α>−2, and Ω is...
AbstractLet l denote a nonnegative second order elliptic expression defined on C0∞(Ω) and let L be a...
In this paper we are concerned with existence and behavior of positive solutions to the following cl...
We find positive rapidly decaying solutions for the equation − div(K(x)∇u) = K(x)u2∗−1 + λK(x)|x|α−...
International audienceWe are interested in elliptic problems with critical nonlinearity and Neumann ...
Abstract. In this paper, we study the semilinear elliptic problem with critical nonlinearity and an ...
AbstractWe study classes of boundary value problems involving the p-Laplacian operator and nonlinear...
We study the fourth order nonlinear critical problem ∆2u = u2 ∗−1 in the unit ball of Rn (n ≥ 5), su...
The critical exponents of nonlinear elliptic equations, which are perturbations of homogeneous probl...
AbstractVia delicate estimates, we characterize an exact growth order near zero for positive solutio...
AbstractWe study the boundary value problem of the quasi-linear elliptic equationdiv(|∇u|m−2∇u)+f(x,...
AbstractWe study a nonlinear elliptic problem with discontinuous nonlinearity(P)-Δu=f(u)H(μ-u)inΩ,u=...
We study the existence of positive solutions of a linear elliptic equation with critical Sobolev exp...
In this paper an existence theorem of positive solutions to the Dirichlet prob-lem for elliptic equa...
AbstractWe consider positive solutions uε of a family of elliptic boundary value Problems (Iε). As ε...
AbstractWe study positive solutions of the equationΔu=|x|αu−pin Ω⊂RN(N⩾2), where p>0, α>−2, and Ω is...
AbstractLet l denote a nonnegative second order elliptic expression defined on C0∞(Ω) and let L be a...
In this paper we are concerned with existence and behavior of positive solutions to the following cl...
We find positive rapidly decaying solutions for the equation − div(K(x)∇u) = K(x)u2∗−1 + λK(x)|x|α−...
International audienceWe are interested in elliptic problems with critical nonlinearity and Neumann ...
Abstract. In this paper, we study the semilinear elliptic problem with critical nonlinearity and an ...
AbstractWe study classes of boundary value problems involving the p-Laplacian operator and nonlinear...
We study the fourth order nonlinear critical problem ∆2u = u2 ∗−1 in the unit ball of Rn (n ≥ 5), su...
The critical exponents of nonlinear elliptic equations, which are perturbations of homogeneous probl...
AbstractVia delicate estimates, we characterize an exact growth order near zero for positive solutio...
AbstractWe study the boundary value problem of the quasi-linear elliptic equationdiv(|∇u|m−2∇u)+f(x,...
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