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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1996-01-01
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| Series: | Abstract and Applied Analysis |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S108533759600022X |
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| _version_ | 1832560576666009600 |
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| 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 |