On the existence and profile of nodal solutions for a two-dimensional elliptic problem with large exponent in nonlinearity
link https://doi.org/10.1112/plms/pdl020account_box Esposito, Pierpaoloaccount_box Musso, Monicaaccount_box Pistoia, Angela
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We study the existence of nodal solutions to the boundary value problem -Delta u = \u\(p-1)u in a bounded, smooth domain Omega in R-2, with homogeneous Dirichlet boundary condition, when p is a large exponent. We prove that, for p large enough, there exist at least two pairs of solutions which change sign exactly once and whose nodal lines intersect the boundary of Omega.
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| Autor | Esposito, Pierpaolo Musso, Monica Pistoia, Angela |
| Título | On the existence and profile of nodal solutions for a two-dimensional elliptic problem with large exponent in nonlinearity |
| Revista | PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY |
| ISSN | 0024-6115 |
| ISSN electrónico | 1460-244X |
| Volumen | 94 |
| Página inicio | 497 |
| Página final | 519 |
| Fecha de publicación | 2007 |
| Resumen | We study the existence of nodal solutions to the boundary value problem -Delta u = \u\(p-1)u in a bounded, smooth domain Omega in R-2, with homogeneous Dirichlet boundary condition, when p is a large exponent. We prove that, for p large enough, there exist at least two pairs of solutions which change sign exactly once and whose nodal lines intersect the boundary of Omega. |
| Derechos | acceso restringido |
| DOI | 10.1112/plms/pdl020 |
| Editorial | WILEY |
| Enlace | |
| Id de publicación en WoS | WOS:000245538500008 |
| Paginación | 23 páginas |
| Palabra clave | QUALITATIVE PROPERTIES SINGULAR LIMITS EQUATIONS |
| Tipo de documento | artículo |