Perturbation from Dirichlet problem involving oscillating nonlinearities

In this paper we prove that if the potential has a suitable oscillating behavior in any neighborhood of the origin (respectively +∞), then under very mild conditions on the perturbation term g, for every k∈N there exists bk>0 such that

     

On the stability of the positive steady states for a nonhomogeneous semilinear Cauchy problem

This paper is contributed to the Cauchy problem

     

Semilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions

This work deals with the analysis of problems

     

A convex-concave problem with a nonlinear boundary condition

In this paper we study the existence of nontrivial solutions of the problem

     

A priori bounds for superlinear problems involving the N-Laplacian

In this paper we establish a priori bounds for positive solutions of the equation

     

Multiplicity of positive solutions for a singular and critical problem

In this paper, we study the following singular, critical elliptic problem :

     

Solutions with transition layer and spike in an inhomogeneous phase transition model

We consider the following singularly perturbed elliptic problem

     

Results for degenerate nonlinear elliptic equations involving a Hardy potential

Consider the problem

     

Bounded positive entire solutions of singular quasilinear elliptic equations

Suppose that β?0 is a constant and that is a continuous function with R₊:=(0,∞). This paper investigates N-dimensional singular, quasilinear elliptic equations of the form

     

Multiplicity for strongly indefinite semilinear elliptic system

In this paper we study a multiplicity result for a strongly indefinite semilinear elliptic system

     

Existence and asymptotic behavior of positive solutions for a variable exponent elliptic system without variational structure

We mainly consider the existence and asymptotic behavior of positive solutions of the following system

     

On the existence of some new positive interior spike solutions to a semilinear Neumann problem

In this paper we are concerned with the following Neumann problem

     

Multiple solutions for a class of quasilinear elliptic problems with discontinuous nonlinearities and weights

In this paper, using nonsmooth critical point theory, we study the existence of multiple solutions of the following class of problems:

     

Large solution to nonlinear elliptic equation with nonlinear gradient terms

The aim of this paper is to study the qualitative behavior of large solutions to the following problem