ON THE UNIQUENESS OF SOLUTIONS OF A SEMILINEAR EQUATION IN AN ANNULUS
link https://doi.org/10.3934/cpaa.2021029account_box Cortazar, Carmenaccount_box Garcia-Huidobro, Martaaccount_box Herreros, Pilaraccount_box Tanaka, Satoshi
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We establish the uniqueness of positive radial solutions of
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| Autor | Cortazar, Carmen Garcia-Huidobro, Marta Herreros, Pilar Tanaka, Satoshi |
| Título | ON THE UNIQUENESS OF SOLUTIONS OF A SEMILINEAR EQUATION IN AN ANNULUS |
| Revista | Communications on pure and applied analysis |
| ISSN | 1534-0392 |
| ISSN electrónico | 1553-5258 |
| Volumen | 20 |
| Número de publicación | 4 |
| Página inicio | 1479 |
| Página final | 1496 |
| Fecha de publicación | 2021 |
| Resumen | We establish the uniqueness of positive radial solutions of (Delta u + f(u) = 0, x is an element of A u(x) = 0 x is an element of partial derivative A (P) where A := A(a,b) = {x is an element of R-n : a < vertical bar x vertical bar < bg, 0 < a < b <= infinity. We assume that the nonlinearity f is an element of C[0,infinity) boolean AND C-1(0,infinity) is such that f(0) = 0 and satisfies some convexity and growth conditions, and either f(s) > 0 for all s > 0, or has one zero at B > 0, is non positive and not identically 0 in (0,B) and it is positive in (B,infinity). |
| Derechos | acceso restringido |
| DOI | 10.3934/cpaa.2021029 |
| Enlace | |
| Id de publicación en WoS | WOS:000642329000008 |
| Palabra clave | Uniqueness annulus semilinear equation subcritical energy function |
| Tipo de documento | artículo |