Stable Solutions of a Class of Degenerate Elliptic Equations

Stable Solutions of a Class of Degenerate Elliptic Equations

This paper deals with the second-order semi-linear degenerate elliptic equation <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>y</mi><msub><mi>u</mi><mrow><mi>...

Full description

Saved in:

Bibliographic Details
Main Authors:	Yin Lang, Hairong Liu
Format:	Article
Language:	English
Published:	MDPI AG 2024-12-01
Series:	Axioms
Subjects:	stable solution degenerate elliptic equations Liouville-type theorem
Online Access:	https://www.mdpi.com/2075-1680/13/12/856
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Uniqueness of weak solution for nonlinear elliptic equations in divergence form
by: Xu Zhang
Published: (2000-01-01)

Large solutions of semilinear elliptic equations with nonlinear gradient terms
by: Alan V. Lair, et al.
Published: (1999-01-01)

Some auxiliary estimates for solutions to non-uniformly degenerate second-order elliptic equations
by: Sarvan T. Huseynov, et al.
Published: (2024-04-01)

Singularly Perturbed Elliptic Dirichlet Problem with a Multiple Root of the Degenerate Equation
by: V. F. Butuzov, et al.
Published: (2016-10-01)

Existence of Bounded Solutions for a Class of Degenerate Fourth-Order Elliptic Equations with Convection Terms
by: Salvatore D’Asero
Published: (2024-12-01)

Weak solutions of degenerated quasilinear elliptic equations of higher order
by: Pavel Drábek, et al.
Published: (1996-01-01)

Singular nonlinear elliptic equations in Rn
by: C. O. Alves, et al.
Published: (1998-01-01)

Solution of the Basic Boundary Value Problems for a Degenerate Elliptic Equation by the Method of Potentials
by: R.M. Askhatov, et al.
Published: (2015-03-01)

On the Dirichlet Problem for a Class of Nonlinear Degenerate Elliptic Equations in Weighted Sobolev Spaces
by: Cavalheiro Albo Carlos
Published: (2024-11-01)

Fully nonlinear degenerate equations with applications to Grad equations
by: Priyank Oza
Published: (2024-06-01)

AN EXISTENCE AND UNIQUENESS OF THE SOLUTION OF SEMILINEAR MONOTONE ELLIPTIC EQUATION WITH THE DATA IN STUMMEL CLASSES
by: Nicky Kurnia Tumalun
Published: (2023-06-01)

Existence and uniqueness of solutions for a class of fractional differential equation with lower-order derivative dependence
by: Yujun Cui, et al.
Published: (2025-02-01)

The Existence of Entropy Solutions for an Elliptic Problems Involving Variable Exponent
by: LU Yue-ming, et al.
Published: (2022-06-01)

Existence, Uniqueness and Asymptotic Behavior of Solutions for Semilinear Elliptic Equations
by: Lin-Lin Wang, et al.
Published: (2024-11-01)

Singularly Perturbed Elliptic Dirichlet Problem with Three-band Boundary Layer
by: Vera A. Beloshapko
Published: (2017-06-01)

Elliptic equations in $ \mathbb{R}^2 $ involving supercritical exponential growth
by: Yony Raúl Santaria Leuyacc
Published: (2024-09-01)

Integrated Jacobi elliptic function solutions to the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation by utilizing new solutions of the elliptic equation of order six
by: Ahmad H. Alkasasbeh, et al.
Published: (2024-12-01)

Doubly Periodic Meromorphic Solutions of Autonomous Nonlinear Differential Equations
by: M. V. Demina, et al.
Published: (2014-10-01)

Nonnegative weak solution to the degenerate viscous Cahn–Hilliard equation
by: Toai Luong
Published: (2025-02-01)

Solutions comparative for a novel model of fractional delta difference type
by: Pshtiwan Othman Mohammed, et al.
Published: (2025-12-01)

Solutions of the Mathieu–Hill Equation for a Trapped-Ion Harmonic Oscillator—A Qualitative Discussion
by: Bogdan M. Mihalcea
Published: (2024-09-01)

Resolving elliptic boundary value problem and integral equation in relational partial metric space
by: Meena Joshi, et al.
Published: (2024-12-01)

Constructive Solution of Ellipticity Problem for the First Order Differential System
by: Vladimir E. Balabaev
Published: (2017-10-01)

Initial-boundary value problem for higher-orders nonlinear elliptic-parabolic equations with variable exponents of the nonlinearity in unbounded domains without conditions at infinity
by: M. M. Bokalo, et al.
Published: (2023-03-01)

Boundary Concentrated Solutions for an Elliptic Equation with Subcritical Nonlinearity
by: Sadeem Al-Harbi, et al.
Published: (2025-04-01)

Local elliptic regularity for solutions to stationary Fokker–Planck equations via Dirichlet forms and resolvents
by: Haesung Lee
Published: (2025-05-01)

Some qualitative properties of Lichnerowicz equations and Ginzburg–Landau systems on locally finite graphs
by: Duong, Anh Tuan, et al.
Published: (2024-11-01)

On a class of semilinear elliptic problems near critical growth
by: J. V. Goncalves, et al.
Published: (1998-01-01)

On weak solutions of semilinear hyperbolic-parabolic equations
by: Jorge Ferreira
Published: (1996-01-01)

The Solution of Fermat’s Two Squares Equation and Its Generalization In Lucas Sequences
by: Ali S. Athab, et al.
Published: (2024-06-01)

PERIODIC SOLUTIONS OF A CLASS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH MULTIPLE DIFFERENT DELAYS
by: Rabah Khemis, et al.
Published: (2022-12-01)

Existence of positive radial solution for the elliptic system on an exterior domain
by: Dan Wang, et al.
Published: (2025-03-01)

Generalized solutions for singular double-phase elliptic equations under mixed boundary conditions
by: Jian Liu, et al.
Published: (2024-12-01)

New exact solutions for generalized Gardner equation
by: Seyma T. Demiray, et al.
Published: (2017-01-01)

On Positive Solution of a New Class of Nonlocal Fractional Equation with Integral Boundary Conditions
by: Noora Housain
Published: (2022-06-01)

Propagation of smallness for solutions of elliptic equations in the plane
by: Yuzhe Zhu
Published: (2025-01-01)

Existance theroms for the matrix Riccati equation W′+WP(t)W+Q(t)=0
by: Robert A. Jones
Published: (1978-01-01)

The existence of a nontrivial solution to an elliptic equation with critical Sobolev exponent and a general potential well
by: Ye Xue, et al.
Published: (2025-03-01)

Solutions to Variable-Order Fractional BVPs with Multipoint Data in <i>W</i><sup>s,p</sup> Spaces
by: Zineb Bellabes, et al.
Published: (2025-07-01)

Square-Mean Asymptotically Almost Periodic Solutions for a Class of Fractional Stochastic Differential Equation
by: YAO Huili, et al.
Published: (2024-02-01)