Critical singular problems on unbounded domains
We present some results of existence for the following problem: −Δu=a(x)g(u)+u|u|2∗−2, x∈ℝN(N≥3), u∈D1,2(ℝN), where the function a is a sign-changing function with a singularity at the origin and g has growth up to the Sobolev critical exponent 2∗=2N/(N−2).
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA.2005.639 |
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| _version_ | 1832558080825491456 |
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| author | D. C. de Morais Filho O. H. Miyagaki |
| author_facet | D. C. de Morais Filho O. H. Miyagaki |
| author_sort | D. C. de Morais Filho |
| collection | DOAJ |
| description | We present some results of existence for the following problem: −Δu=a(x)g(u)+u|u|2∗−2, x∈ℝN(N≥3), u∈D1,2(ℝN), where the function a is a sign-changing function with a singularity at the origin and g has growth up to the Sobolev critical exponent 2∗=2N/(N−2). |
| format | Article |
| id | doaj-art-0d5f482d300d49fc871d62029102f221 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0d5f482d300d49fc871d62029102f2212025-02-03T01:33:13ZengWileyAbstract and Applied Analysis1085-33751687-04092005-01-012005663965310.1155/AAA.2005.639Critical singular problems on unbounded domainsD. C. de Morais Filho0O. H. Miyagaki1Departamento de Matemática e Estatística, Universidade Federal de Campina Grande, Caixa Postal 10044, Campina Grande 58109-970, PB, BrazilDepartamento de Matemática, Universidade Federal de Viçosa, Viçosa 36571-000, MG, BrazilWe present some results of existence for the following problem: −Δu=a(x)g(u)+u|u|2∗−2, x∈ℝN(N≥3), u∈D1,2(ℝN), where the function a is a sign-changing function with a singularity at the origin and g has growth up to the Sobolev critical exponent 2∗=2N/(N−2).http://dx.doi.org/10.1155/AAA.2005.639 |
| spellingShingle | D. C. de Morais Filho O. H. Miyagaki Critical singular problems on unbounded domains Abstract and Applied Analysis |
| title | Critical singular problems on unbounded domains |
| title_full | Critical singular problems on unbounded domains |
| title_fullStr | Critical singular problems on unbounded domains |
| title_full_unstemmed | Critical singular problems on unbounded domains |
| title_short | Critical singular problems on unbounded domains |
| title_sort | critical singular problems on unbounded domains |
| url | http://dx.doi.org/10.1155/AAA.2005.639 |
| work_keys_str_mv | AT dcdemoraisfilho criticalsingularproblemsonunboundeddomains AT ohmiyagaki criticalsingularproblemsonunboundeddomains |