On quasilinear elliptic equations in ℝN

On quasilinear elliptic equations in ℝN

In this note we give a result for the operator p-Laplacian complementing a theorem by Brézis and Kamin concerning a necessary and sufficient condition for the equation −Δu=h(x)uq in ℝN, where 0<q<1, to have a bounded positive solution. While Brézis and Kamin use the method of sub and super sol...

Full description

Saved in:
Bibliographic Details
Main Authors: C. O. Alves, J. V. Concalves, L. A. Maia
Format: Article
Language:English
Published: Wiley 1996-01-01
Series:Abstract and Applied Analysis
Subjects:
Quasilinear elliptic equation
p-Laplacian
variational method.
Online Access:http://dx.doi.org/10.1155/S108533759600022X
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this note we give a result for the operator p-Laplacian complementing a theorem by Brézis and Kamin concerning a necessary and sufficient condition for the equation −Δu=h(x)uq in ℝN, where 0<q<1, to have a bounded positive solution. While Brézis and Kamin use the method of sub and super solutions, we employ variational arguments for the existence of solutions.
ISSN:1085-3375

Similar Items