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Título:
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On some Bernoulli free boundary type problems for general elliptic operators
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Autores:
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Díaz Díaz, Jesús Ildefonso ;
Padial Molina, Juan Francisco ;
Rakotoson, Jean Michel Theresien
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Tipo de documento:
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texto impreso
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Editorial:
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Cambridge University Press, 2007-09-18
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores
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Tipo = Artículo
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Resumen:
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We consider some Bernoulli free boundary type problems for a general class of quasilinear elliptic (pseudomonotone) operators involving measures depending on unknown solutions. We treat those problems by applying the Ambrosetti-Rabinowitz minimax theorem to a sequence of approximate nonsingular problems and passing to the limit by some a priori estimates. We show, by means of some capacity results, that sometimes the measures are regular. Finally, we give some qualitative properties of the solutions and, for a special case, we construct a continuum of solutions.
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En línea:
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https://eprints.ucm.es/id/eprint/15288/1/36.pdf
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