On some nonlinear elliptic-equations involving derivatives of the nonlinearity
| dc.contributor.author | Carrillo Menéndez, José | |
| dc.contributor.author | Chipot, Michel | |
| dc.date.accessioned | 2023-06-21T02:01:50Z | |
| dc.date.available | 2023-06-21T02:01:50Z | |
| dc.date.issued | 1985 | |
| dc.description.abstract | The existence of weak solutions of the Dirichlet problem for nonlinear elliptic equations of the type −(∂/∂x j )(a ij (x)u x i +b j (u))+a(x)u=f is proved for nonlinearities b j which are only continuous. The proof is based on the observation that an L ∞ a priori estimate is valid which is independent of b j . The second part contains several uniqueness results and counterexamples, showing that uniqueness may fail in general. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15615 | |
| dc.identifier.doi | 10.1016/0022-0396(82)90068-7 | |
| dc.identifier.issn | 0308-2105 | |
| dc.identifier.officialurl | http://journals.cambridge.org/abstract_S0308210500013822 | |
| dc.identifier.relatedurl | http://www.cambridge.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/64636 | |
| dc.issue.number | Part 3 | |
| dc.journal.title | Proceedings of the Royal Society of Edinburgh: Section A Mathematics | |
| dc.language.iso | eng | |
| dc.page.final | 294 | |
| dc.page.initial | 281 | |
| dc.publisher | Cambridge University Press | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.9 | |
| dc.subject.keyword | Nonlinear elliptic equations | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | On some nonlinear elliptic-equations involving derivatives of the nonlinearity | |
| dc.type | journal article | |
| dc.volume.number | 100 | |
| dcterms.references | H. Brezis. The Dam Problem revisited. In Free Boundary Problems: Theory and Applications Vol. 1, (A. Fasano, M. Primicerio, editors) (London: Pitman, 1983). H. Brezis, D. Kinderlehrer and G. Stampacchia. Sur une nouvelle formulation du probleme de l'ecoulement a travers une digue. C. R. Acad. Sci. Paris, Sir. A 287 (1978), 711-714. J. Carrillo-Menendez. Existencia de solucion para una familia de Problemas no-lineales. Algumos aspectos de la unicidad). Ada III Congresso de Ecuaciones Differenciales y Applicationes, Santiago, June 1980. D. Gilbarg and N. S. Trudinger. Elliptic Partial Differential Equations of Second Order (Berlin: Springer, 1977). D. Kinderlehrer and G. Stampacchia. An Introduction to Variational Inequalities and their Applications (New York: Academic Press, 1980). O. A. Ladyzhenskaya and N. N. Ural'tseva. Linear and Quasilinear Elliptic Equations (New York: Academic Press, 1968). J. L. Lions. Problemes aux limites dans les equations aux derivees partielles (Presses de l'Universite de Montreal, 1965). G. Stampacchia. Equations elliptiques du second ordre a coefficients discontinus (Presses de l'Universite de Montreal, 1965) | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 48ac980d-beb1-40b0-acec-caec3a109b1c | |
| relation.isAuthorOfPublication.latestForDiscovery | 48ac980d-beb1-40b0-acec-caec3a109b1c |
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