In this thesis we study semilinear elliptic problems of second and fourth order using some well known functional inequalities, as Hardy-Sobolev inequalities and Trudinger-Moser inequalities. We prove existence and non existence of solutions, regularity of solutions and a priori estimates for solutions
Some second order semilinear elliptic boundary value problems of the Ambrosetti-Prodi-type are studi...
This thesis concerns the study of fourth-order elliptic boundary value problems and, in particular, ...
In this paper we survey recent results on existence of solutions for elliptic Hamiltonean systems
We study distributional solutions of semilinear biharmonic equations of the type Δ2u+f(u)=0 onℝN, ...
We peove various results concerning a priori bounds of positive solutions of higher order equations ...
AbstractWe apply degree theory to prove the existence of positive solutions of semilinear elliptic s...
Kondratiev Y, Liskevich V, Sobol Z. Second-order semilinear elliptic inequalities in exterior domain...
This thesis is devoted to the study of elliptic equations. On the one hand, we study some qualitativ...
This book is based on the lecture notes for a graduate course taught at the Institute of Mathematics...
We are concerned with the solvability of boundary value problems and related general properties of s...
AbstractExistence and multiplicity of positive solutions are studied for a class of semilinear ellip...
AbstractExistence, uniqueness and convergence of approximants of positive weak solutions for semilin...
We study the existence and nonexistence of positive solution to the problem $$\displaylines{ \Delt...
Nonlinear Analysis Theory, Methods and Applications 121, 469-540 (2015).We study the boundary behav...
The objective of this article is to establish the existence of critical points for functional of cla...
Some second order semilinear elliptic boundary value problems of the Ambrosetti-Prodi-type are studi...
This thesis concerns the study of fourth-order elliptic boundary value problems and, in particular, ...
In this paper we survey recent results on existence of solutions for elliptic Hamiltonean systems
We study distributional solutions of semilinear biharmonic equations of the type Δ2u+f(u)=0 onℝN, ...
We peove various results concerning a priori bounds of positive solutions of higher order equations ...
AbstractWe apply degree theory to prove the existence of positive solutions of semilinear elliptic s...
Kondratiev Y, Liskevich V, Sobol Z. Second-order semilinear elliptic inequalities in exterior domain...
This thesis is devoted to the study of elliptic equations. On the one hand, we study some qualitativ...
This book is based on the lecture notes for a graduate course taught at the Institute of Mathematics...
We are concerned with the solvability of boundary value problems and related general properties of s...
AbstractExistence and multiplicity of positive solutions are studied for a class of semilinear ellip...
AbstractExistence, uniqueness and convergence of approximants of positive weak solutions for semilin...
We study the existence and nonexistence of positive solution to the problem $$\displaylines{ \Delt...
Nonlinear Analysis Theory, Methods and Applications 121, 469-540 (2015).We study the boundary behav...
The objective of this article is to establish the existence of critical points for functional of cla...
Some second order semilinear elliptic boundary value problems of the Ambrosetti-Prodi-type are studi...
This thesis concerns the study of fourth-order elliptic boundary value problems and, in particular, ...
In this paper we survey recent results on existence of solutions for elliptic Hamiltonean systems
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