Semilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions

This work deals with the analysis of problems

     

Asymptotically linear Schrödinger equations with sign-changing potential

In this paper, we show that the following system:

(0.1)     

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

This paper is contributed to the Cauchy problem

     

Multiplicity of positive solutions for a singular and critical problem

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

     

Elliptic problems with nonlinear terms depending on the gradient and singular on the boundary

In this paper we consider the problem

(P)     

A convex-concave problem with a nonlinear boundary condition

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

     

Positive solutions for infinite semipositone problems with falling zeros

We consider the positive solutions to the singular problem

(P)     

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

We consider the following singularly perturbed elliptic problem

     

Positive solutions of asymptotically linear Schrödinger-Poisson systems with a radial potential vanishing at infinity

In this paper, we study the Schrödinger-Poisson system

(SP)     

A priori bounds for superlinear problems involving the N-Laplacian

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

     

Nonlinear fractional field equations

In this paper, we establish the existence of ground state solutions and bound state solutions for fractional field equations

(0.1)     

Asymptotically linear Schrödinger equation with potential vanishing at infinity

We are concerned with the existence of bound states and ground states of the following nonlinear Schrödinger equation

(0.1)     

Results for degenerate nonlinear elliptic equations involving a Hardy potential

Consider the problem

     

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

     

Existence and regularity of nonnegative solution of a singular quasi-linear anisotropic elliptic boundary value problem with gradient terms

In this paper, we consider the singular quasi-linear anisotropic elliptic boundary value problem

(P)     

Positive solutions for semilinear elliptic equations with singular forcing terms

We consider the existence of solutions to the semilinear elliptic problem

(∗)_κ     

Boundary blow-up solutions with a spike layer

We prove that for large λ>0, the boundary blow-up problem

     

Schrödinger-Poisson system with steep potential well

In this paper, we consider the following Schrödinger-Poisson system