SynopsisWe consider a mildly nonlinear elliptic boundary value problem depending on a parameter. Given appropriate hypotheses concerning the asymptotic behaviour of the nonlinearity, we derive lower bounds on the number of solutions. The results complement an earlier theorem due to Kazdan and Warner [6]
International audienceWe consider the boundary value problem(Pλ) −∆u = λc(x)u + µ(x)|∇u| 2 + h(x), u...
AbstractWe prove the first genuine “partial differential equation” result on a conjecture concerning...
International audienceWe consider the boundary value problem(Pλ) −∆u = λc(x)u + µ(x)|∇u| 2 + h(x), u...
SynopsisWe consider a mildly nonlinear elliptic boundary value problem depending on a parameter. Giv...
We consider a mildly nonlinear elliptic boundary value problem depending on a parameter. Given appro...
Some second order semilinear elliptic boundary value problems of the Ambrosetti-Prodi-type are studi...
SynopsisSome second order semilinear elliptic boundary value problems of the Ambrosetti-Prodi-type a...
SynopsisSome second order semilinear elliptic boundary value problems of the Ambrosetti-Prodi-type a...
AbstractWe prove existence and multiplicity theorems for nonlinear elliptic boundary value problems ...
AbstractThis paper studies the existence of positive solutions for a class of boundary value problem...
AbstractWe consider semilinear elliptic Neumann boundary value problems with polynomial nonlineariti...
AbstractIn this paper lower bounds for the number of solutions of semilinear elliptic problems in a ...
We prove that a semilinear elliptic boundary value problem has five solutions when the range of the ...
AbstractLower bounds on the number of solutions to a certain class of nonlinear Neumann boundary val...
We prove that a semilinear elliptic boundary value problem has five solutions when the range of the ...
International audienceWe consider the boundary value problem(Pλ) −∆u = λc(x)u + µ(x)|∇u| 2 + h(x), u...
AbstractWe prove the first genuine “partial differential equation” result on a conjecture concerning...
International audienceWe consider the boundary value problem(Pλ) −∆u = λc(x)u + µ(x)|∇u| 2 + h(x), u...
SynopsisWe consider a mildly nonlinear elliptic boundary value problem depending on a parameter. Giv...
We consider a mildly nonlinear elliptic boundary value problem depending on a parameter. Given appro...
Some second order semilinear elliptic boundary value problems of the Ambrosetti-Prodi-type are studi...
SynopsisSome second order semilinear elliptic boundary value problems of the Ambrosetti-Prodi-type a...
SynopsisSome second order semilinear elliptic boundary value problems of the Ambrosetti-Prodi-type a...
AbstractWe prove existence and multiplicity theorems for nonlinear elliptic boundary value problems ...
AbstractThis paper studies the existence of positive solutions for a class of boundary value problem...
AbstractWe consider semilinear elliptic Neumann boundary value problems with polynomial nonlineariti...
AbstractIn this paper lower bounds for the number of solutions of semilinear elliptic problems in a ...
We prove that a semilinear elliptic boundary value problem has five solutions when the range of the ...
AbstractLower bounds on the number of solutions to a certain class of nonlinear Neumann boundary val...
We prove that a semilinear elliptic boundary value problem has five solutions when the range of the ...
International audienceWe consider the boundary value problem(Pλ) −∆u = λc(x)u + µ(x)|∇u| 2 + h(x), u...
AbstractWe prove the first genuine “partial differential equation” result on a conjecture concerning...
International audienceWe consider the boundary value problem(Pλ) −∆u = λc(x)u + µ(x)|∇u| 2 + h(x), u...