We prove an abstract theorem whose sole hypothesis is that the degree of a certain map is nonzero and whose parametric equations are studied using cohomological mconclusions imply sharp, multidimensional continuation results. Applications are given to nonlinear partial differential equations.

On the covering dimension of the set of solutions of some nonlinear equations / Fitzpatrick, P.; Massabò, I.; Pejsachowicz, Jacobo. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - STAMPA. - 296:(1986), pp. 529-540.

On the covering dimension of the set of solutions of some nonlinear equations

PEJSACHOWICZ, JACOBO
1986

Abstract

We prove an abstract theorem whose sole hypothesis is that the degree of a certain map is nonzero and whose parametric equations are studied using cohomological mconclusions imply sharp, multidimensional continuation results. Applications are given to nonlinear partial differential equations.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2495706
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