Sci Math | On the nonexistence of stable solutions of sub-elliptic systems with negative exponents

Sci Math

Article Contents

1. Titles

2. Authors

On the nonexistence of stable solutions of sub-elliptic systems with negative exponents

Authors: Đỗ Lân, Lê Phương Quỳnh, Nguyễn Phương Thảo, Dương Anh Tuấn,

https://doi.org/10.1080/17476933.2019.1574772

Publisher, magazine: ,

Publication year: 2019

Lưu Trích dẫn

Abstract

In this paper, we study the sub-elliptic system ΔλuΔλv=v−p=u−q in RN, (1) where p,q>1 and Δλ is an operator of the form Δλ=∑Ni=1∂xi(λ2i∂xi). We establish some Liouville type results for bounded stable positive solutions of the system. As a consequence, we also obtain a nonexistence result for the scalar equation Δλu=u−p, in RN.

Tags: Liouville-type result, stable positive solutions, degenerate elliptic systems, negative exponents

Trở lại

Các bài viết liên quan đến tác giả Đỗ Lân

A New Method to Estimate the Stable Degrees of Some Previous Stability Theorems Based on the Stability of the Differential Equations for Characteristic Functions

Decay integral solutions for a class of impulsive fractional differential equations in Banach spaces

Global attractor for a class of functional differential inclusions with Hille–Yosida operators

Fixed point approach for weakly asymptotic stability of fractional differential inclusions involving impulsive effects

Decay Solutions and Decay Rate for a Class of Retarded Abtract Semilinear Fractional Evolution Inclusions

On the nonexistence of stable solutions of sub-elliptic systems with negative exponents