In this paper we give sufficient conditions for the nonexistence of nonnegative nontrivial entire weak solutions of p-Laplacian elliptic inequalities, with possibly singular weights and gradient terms, of the form , under the main request that h and are continuous on . We achieve our conclusions introducing a generalized version of the well-known Keller–Osserman condition.
On entire solutions of degenerate elliptic differential inequalities with nonlinear gradient terms / R. Filippucci, P. Pucci, M. Rigoli. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 356:2(2009), pp. 689-697.
On entire solutions of degenerate elliptic differential inequalities with nonlinear gradient terms
M. RigoliUltimo
2009
Abstract
In this paper we give sufficient conditions for the nonexistence of nonnegative nontrivial entire weak solutions of p-Laplacian elliptic inequalities, with possibly singular weights and gradient terms, of the form , under the main request that h and are continuous on . We achieve our conclusions introducing a generalized version of the well-known Keller–Osserman condition.
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