Biblioteca de la Universidad Complutense de Madrid

On some nonlinear elliptic-equations involving derivatives of the nonlinearity

Impacto

Carrillo Menéndez, José y Chipot, Michel (1985) On some nonlinear elliptic-equations involving derivatives of the nonlinearity. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 100 (Part 3). pp. 281-294. ISSN 0308-2105

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URL Oficial: http://journals.cambridge.org/abstract_S0308210500013822




Resumen

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.


Tipo de documento:Artículo
Palabras clave:Nonlinear elliptic equations
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:15615
Referencias:

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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.

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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).

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Depositado:13 Jun 2012 09:23
Última Modificación:06 Feb 2014 10:28

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