We present some existence and multiplicity results for positive solutions to the Dirichlet problem associated with δu + λa(x)g(u) = 0; under suitable conditions on the nonlinearity g(u) and the weight func-tion a(x): The assumptions considered are related to classical theorems about positive solutions to a sublinear elliptic equation due to Brezis-Oswald and Brown-Hess.
Remarks on Dirichlet problems with sublinear growth at infinity / Sovrano, E.; Zanolin, F.. - In: RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE. - ISSN 0049-4704. - 47:(2015), pp. 267-305. [10.13137/0049-4704/11798]
Remarks on Dirichlet problems with sublinear growth at infinity
Sovrano E.;
2015
Abstract
We present some existence and multiplicity results for positive solutions to the Dirichlet problem associated with δu + λa(x)g(u) = 0; under suitable conditions on the nonlinearity g(u) and the weight func-tion a(x): The assumptions considered are related to classical theorems about positive solutions to a sublinear elliptic equation due to Brezis-Oswald and Brown-Hess.
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