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| Format: | Artículo científico |
| Sprache: | en |
| Veröffentlicht: |
Universidad Industrial de Santander
2019
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| Schlagworte: | |
| Online-Zugang: | https://www.redalyc.org/articulo.oa?id=327062425001 https://www.redalyc.org/journal/3270/327062425001/ https://www.redalyc.org/journal/3270/327062425001/html/ https://www.redalyc.org/journal/3270/327062425001/327062425001.epub https://www.redalyc.org/journal/3270/327062425001/movil |
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| _version_ | 1866591057851973632 |
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| author | L. Cioletti |
| author_facet | L. Cioletti |
| contents | An elliptic equation with random potential and supercritical nonlinearity L. Cioletti L. C. F. Ferreira M. Furtado Física, Astronomía y Matemáticas 60H25 35J60 35R60 82B44 47H10 We are concerned with a nonhomogeneous elliptic equation with random potential and supercritical nonlinearity. Existence of solution is obtained almost surely for a class of potentials that includes continuum and discrete ones. Also, we provide a law of larger numbers for the obtained solutions by independent ensembles and estimate the expected value for their L∞-norms. 2019 artículo científico 0120-419X https://www.redalyc.org/articulo.oa?id=327062425001 https://www.redalyc.org/journal/3270/327062425001/ https://www.redalyc.org/journal/3270/327062425001/html/ https://www.redalyc.org/journal/3270/327062425001/327062425001.epub https://www.redalyc.org/journal/3270/327062425001/movil 10.18273/revint.v37n1-2019001 en http://www.redalyc.org/revista.oa?id=3270 Revista Integración application/pdf Universidad Industrial de Santander Revista Integración (Colombia) Num.1 Vol.37 |
| format | Artículo científico |
| id | redalyc_327062425001 |
| language | en |
| publishDate | 2019 |
| publisher | Universidad Industrial de Santander |
| spellingShingle | An elliptic equation with random potential and supercritical nonlinearity L. Cioletti Física, Astronomía y Matemáticas 60H25 35J60 35R60 82B44 47H10 An elliptic equation with random potential and supercritical nonlinearity L. Cioletti L. C. F. Ferreira M. Furtado Física, Astronomía y Matemáticas 60H25 35J60 35R60 82B44 47H10 We are concerned with a nonhomogeneous elliptic equation with random potential and supercritical nonlinearity. Existence of solution is obtained almost surely for a class of potentials that includes continuum and discrete ones. Also, we provide a law of larger numbers for the obtained solutions by independent ensembles and estimate the expected value for their L∞-norms. 2019 artículo científico 0120-419X https://www.redalyc.org/articulo.oa?id=327062425001 https://www.redalyc.org/journal/3270/327062425001/ https://www.redalyc.org/journal/3270/327062425001/html/ https://www.redalyc.org/journal/3270/327062425001/327062425001.epub https://www.redalyc.org/journal/3270/327062425001/movil 10.18273/revint.v37n1-2019001 en http://www.redalyc.org/revista.oa?id=3270 Revista Integración application/pdf Universidad Industrial de Santander Revista Integración (Colombia) Num.1 Vol.37 |
| title | An elliptic equation with random potential and supercritical nonlinearity |
| topic | Física, Astronomía y Matemáticas 60H25 35J60 35R60 82B44 47H10 |
| url | https://www.redalyc.org/articulo.oa?id=327062425001 https://www.redalyc.org/journal/3270/327062425001/ https://www.redalyc.org/journal/3270/327062425001/html/ https://www.redalyc.org/journal/3270/327062425001/327062425001.epub https://www.redalyc.org/journal/3270/327062425001/movil |