In this paper we are concerned with a class of elliptic differential inequalities with a potential both on R^m and on Riemannian manifolds. In particular, we investigate the effect of the geometry of the underlying manifold and of the behavior of the potential at infinity on nonexistence of nonnegative solutions.
Nonexistence results for elliptic differential inequalities with a potential on Riemannian manifolds / P. Mastrolia, D.D. Monticelli, F. Punzo. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 54:2(2015), pp. 1345-1372.
Nonexistence results for elliptic differential inequalities with a potential on Riemannian manifolds
P. MastroliaPrimo
;D.D. MonticelliSecondo
;F. Punzo
2015
Abstract
In this paper we are concerned with a class of elliptic differential inequalities with a potential both on R^m and on Riemannian manifolds. In particular, we investigate the effect of the geometry of the underlying manifold and of the behavior of the potential at infinity on nonexistence of nonnegative solutions.
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