In this paper, we consider the equation |delta u|M a, A (D 2 u)= f(u) in a bounded smooth domain , with both Dirichlet condition u=0 and Neumann condition , where c is a constant, > 1, u is of constant sign and M a, A is one of the Pucci operator. We prove, for different nonlinearities f, that, when a is sufficiently close to A, either u=c=0=f(0) or is a ball, u is radial, and c0 in .
Overdetermined Problems for Some Fully Non Linear Operators / Birindelli, Isabella; Francoise, Demengel. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - STAMPA. - 38:4(2013), pp. 608-628. [10.1080/03605302.2012.756521]
Overdetermined Problems for Some Fully Non Linear Operators
BIRINDELLI, Isabella;
2013
Abstract
In this paper, we consider the equation |delta u|M a, A (D 2 u)= f(u) in a bounded smooth domain , with both Dirichlet condition u=0 and Neumann condition , where c is a constant, > 1, u is of constant sign and M a, A is one of the Pucci operator. We prove, for different nonlinearities f, that, when a is sufficiently close to A, either u=c=0=f(0) or is a ball, u is radial, and c0 in .File allegati a questo prodotto
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