Existence and asymptotic properties of singular solutions of nonlinear elliptic equations in R n ∖ { 0 } $R^{n}\backslash\{0\}$

Existence and asymptotic properties of singular solutions of nonlinear elliptic equations in R n ∖ { 0 } $R^{n}\backslash\{0\}$

Abstract We consider the following singular semilinear problem { Δ u ( x ) + p ( x ) u γ = 0 , x ∈ D ( in the distributional sense ) , u > 0 , in  D , lim | x | → 0 | x | n − 2 u ( x ) = 0 , lim | x | → ∞ u ( x ) = 0 , $$ \textstyle\begin{cases} \Delta u(x)+p(x)u^{\gamma }=0,\quad x\in D ~(\text{...

Full description

Bibliographic Details
Main Authors: Imed Bachar, Entesar Aljarallah
Format: Article
Language:English
Published: SpringerOpen 2022-01-01
Series:Boundary Value Problems
Subjects:
Slowly varying functions
Kato class
Asymptotic properties
Blow-up
Online Access:https://doi.org/10.1186/s13661-022-01584-3

Similar Items

Similar Items