In the paper are established necessary conditions for existence of nontrivial weak solutions to some differential eqautions. The obtained conditions depend on the parameters of the problem as well as the geometry of the manifolds. Next, are discussed some special cases of potential functions.

NONLINEAR LIOUVILLE-TYPE THEOREMS FOR GENERALIZED BAOUENDI-GRUSHIN OPERATOR ON RIEMANNIAN MANIFOLDS

Maria Alessandra Ragusa
;
2022

Abstract

In the paper are established necessary conditions for existence of nontrivial weak solutions to some differential eqautions. The obtained conditions depend on the parameters of the problem as well as the geometry of the manifolds. Next, are discussed some special cases of potential functions.
NONLINEAR LIOUVILLE-TYPE THEOREMS, RIEMANNIAN MANIFOLDS, DIFFERENTIAL EQAUTIONS.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/536317
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