We establish an existence theorem for infinite energy solutions of degenerate elliptic equations whose right hand side belongs to a Orlicz-Zygmund class. The function which measures the degree of degeneracy of the problem is assumed to be exponentially integrable. We also study the regularity of the solution when the right hand side belongs to a suitable Lebesgue space.
Existence of Infinite Energy Solutions of Degenerate Elliptic Equations / Gioconda, Moscariello; A., Passarelli; Porzio, Maria Michaela. - In: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN. - ISSN 0232-2064. - STAMPA. - 31:4(2012), pp. 393-426. [10.4171/zaa/1466]
Existence of Infinite Energy Solutions of Degenerate Elliptic Equations
PORZIO, Maria Michaela
2012
Abstract
We establish an existence theorem for infinite energy solutions of degenerate elliptic equations whose right hand side belongs to a Orlicz-Zygmund class. The function which measures the degree of degeneracy of the problem is assumed to be exponentially integrable. We also study the regularity of the solution when the right hand side belongs to a suitable Lebesgue space.File allegati a questo prodotto
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