Uniqueness of the ground state solutions of quasilinear Schrödinger equations

We are concerned with the uniqueness result of positive solutions for a class of quasilinear elliptic equation arising from plasma physics. We convert a quasilinear elliptic equation into a semilinear one and show the unique existence of positive radial solution for original equation under the suitable conditions on the power of nonlinearity and quasilinearity. We also investigate the non-degeneracy of a positive radial solution for a converted semilinear elliptic equation.     

一类拟线性椭圆型方程组的正对称解的存在性

本文讨论了球域上一类拟线性椭圆型方程组正对称解的存在性和多解性     

Positive Solutions of a Class of Quasilinear Elliptic Equations in Two-dimensional Exterior Domains

Sufficient conditions for the existence of positive solutions to a class of quasilinear elliptic equations in two-dimensional exterior domains are given.     

Existence and uniqueness of solutions for quasilinear elliptic systems

We obtain necessary and sufficient conditions for the existence of positive solutions for a class of sublinear Dirichlet quasilinear elliptic systems.

     

A QUASILINEAR SINGULAR ELLIPTIC SYSTEM WITHOUT COOPERATIVE STRUCTURE

In this article, we investigate the existence of positive solutions of a singular quasilinear elliptic system for which the cooperative structure is not required. The approach is based on the Schauder fixed point theorem combined with perturbation arguments that involve the singular terms.     

A quasilinear singular elliptic system without cooperative structure

In this article, we investigate the existence of positive solutions of a singular quasilinear elliptic system for which the cooperative structure is not required. The approach is based on the Schauder fixed point theorem combined with perturbation arguments that involve the singular terms.     

拟线性椭圆方程的衰减正解

本文建立了一类拟线性椭圆方程具有高度衰减阶正解的存在性，并对此类正解的最大值进行了上下界估计。     

Existence results for a class of degenerate quasilinear elliptic systems

We establish existence results for weak solutions of degenerate quasilinear elliptic systems. By using the variational method we obtain the existence of a solution for an elliptic system with Dirichlet boundary condition under some restriction on λ.     

具有梯度项的Schrdinger型拟线性椭圆型方程组的全空间解的存在性

研究了全空间下的具有梯度项的Schrdinger型拟线性椭圆型方程组的解的存在性.     

R^N中—（p,q）-Laplacian拟线性椭圆方程组正解的存在性和多重性

研究了—（p,q）-Laplacian拟线性椭圆方程组.当连续函数V和W在两种情形下,利用Moser迭代技巧和Ljusternik-Schnirelmann畴数理论,建立了方程组正解的存在性和多重性结果.     

Multiple positive solutions of some quasilinear neumann problems

Using the fibering method we prove the existence of at least two positive solutions for a class of non-monotone quasilinear elliptic equations with nonlinear Neuman boundary conditions     

EXISTENCE OF POSITIVE ENTIRE SOLUTIONS FOR QUASILINEAR ELLIPTIC SYSTEMS

In this paper, the existence of positive solutions for a class of quasilinear elliptic differential equation systems are established by Schauder-TychonofF fixed point theorem.     

EXISTENCE OF POSITIVE SOLUTION FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATION

In this paper, we investigates the existence of positive solutions for a class of quasilinear elliptic equations by using the topological degree argument.     

Existence for bounded positive solutions of quasilinear elliptic equations in two-dimensional exterior domains

In this paper, by using the fixed point theory, we obtain a new existence result for bounded positive solutions of the quasilinear elliptic equations in two-dimensional exterior domains.     

Quasilinear elliptic system in exterior domains with dependence on the gradient

In this paper, we deal with a quasilinear elliptic system in exterior domains with dependence on the gradient and coupling of the equations not only inside of the domain, but also on the boundary. We prove the existence of positive, negative or sign changing weak solutions. Our approach relies on an aproximation argument and an adequate elliptic “a priori” estimate.     

Positive solutions for critical quasilinear elliptic equations with mixed dirichlet-neumann boundary conditions

The existence and multiplicity of positive solutions are studied for a class of quasilinear elliptic equations involving Sobolev critical exponents with mixed Dirichlet-Neumann boundary conditions by the variational methods and some analytical techniques.     

NONRADIAL POSITIVE SOLUTIONS TO SINGULAR QUASILINEAR ELLIPTIC EQUATIONS IN THE PLANE

This paper investigates 2-dimensional singular,quasilinear elliptic equations and gives some suffcient conditions ensuring the equations have infinitely many positive entire solutions. The super-subsolution method is used to prove the existence of such solutions.     

Existence of Positive Solutions for a Class of Quasilinear Singular Elliptic Systems Involving Caffarelli-Kohn-Nirenberg Exponent with Sign-Changing Weight Functions

The paper deals with the existence of weak positive solutions for a new class of quasilinear singular elliptic systems involving critical Caffarelli–Kohn–Nirenberg exponent with sign-changing weight functions using the method of sub-super solutions. Our results are natural extensions from the previous ones in [3].     

On a quasilinear elliptic eigenvalue problem with constraint

Via construction of pseudo gradient vector field and descending flow argument, we prove the existence of one positive, one negative and one sign-changing solutions for a quasilinear elliptic eigenvalue problem with constraint.     

Two types of quasilinear elliptic equations with degenerate coerciveness and slightly superlinear growth

The existence of positive solutions for two types of quasilinear elliptic equations with degenerate coerciveness and slightly superlinear growth is established. Especially, we solve an open problem proposed in the literature (Mercaldo and Peral, 2008).