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...
Saved in:
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
1996-01-01
|
Series: | Abstract and Applied Analysis |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S108533759600022X |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
_version_ | 1832560576666009600 |
---|---|
author | C. O. Alves J. V. Concalves L. A. Maia |
author_facet | C. O. Alves J. V. Concalves L. A. Maia |
author_sort | C. O. Alves |
collection | DOAJ |
description | 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. |
format | Article |
id | doaj-art-0cb45a77c4884838b85dcd6cfc0c1a89 |
institution | Kabale University |
issn | 1085-3375 |
language | English |
publishDate | 1996-01-01 |
publisher | Wiley |
record_format | Article |
series | Abstract and Applied Analysis |
spelling | doaj-art-0cb45a77c4884838b85dcd6cfc0c1a892025-02-03T01:27:10ZengWileyAbstract and Applied Analysis1085-33751996-01-011440741510.1155/S108533759600022XOn quasilinear elliptic equations in ℝNC. O. Alves0J. V. Concalves1L. A. Maia2Departamento de Matemática, Universidade Federal da Paraiba, Campina Grande-(PB), 58100-240 -, BrazilDepartamento de Matemática, Universidade de Brasília, Brasilia 70.910-900, DF, BrazilDepartamento de Matemática, Universidade de Brasília, Brasilia 70.910-900, DF, BrazilIn 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.http://dx.doi.org/10.1155/S108533759600022XQuasilinear elliptic equationp-Laplacianvariational method. |
spellingShingle | C. O. Alves J. V. Concalves L. A. Maia On quasilinear elliptic equations in ℝN Abstract and Applied Analysis Quasilinear elliptic equation p-Laplacian variational method. |
title | On quasilinear elliptic equations in ℝN |
title_full | On quasilinear elliptic equations in ℝN |
title_fullStr | On quasilinear elliptic equations in ℝN |
title_full_unstemmed | On quasilinear elliptic equations in ℝN |
title_short | On quasilinear elliptic equations in ℝN |
title_sort | on quasilinear elliptic equations in rn |
topic | Quasilinear elliptic equation p-Laplacian variational method. |
url | http://dx.doi.org/10.1155/S108533759600022X |
work_keys_str_mv | AT coalves onquasilinearellipticequationsinrn AT jvconcalves onquasilinearellipticequationsinrn AT lamaia onquasilinearellipticequationsinrn |