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.
Cite this article
Gioconda Moscariello, Antonia Passarelli di Napoli, Maria Michaela Porzio, Existence of Infinite Energy Solutions of Degenerate Elliptic Equations. Z. Anal. Anwend. 31 (2012), no. 4, pp. 393–426DOI 10.4171/ZAA/1466