This work deals with Morse index estimates for a solution u is an element of H(1)(p)(M) of the quasilinear elliptic equation -div(g) ((alpha + |del u|(2)(g))((p-2)/2)del u,) = h(x,u), where (M, g) is a compact, Riemannian manifold, 0 < alpha, 2 <= p < n. The nonlinear right-hand side h(x, s) is allowed to be subcritical or critical.

Morse index estimates for quasilinear equations on Riemannian manifolds

CINGOLANI, Silvia
;
VANNELLA, Giuseppina;
2011-01-01

Abstract

This work deals with Morse index estimates for a solution u is an element of H(1)(p)(M) of the quasilinear elliptic equation -div(g) ((alpha + |del u|(2)(g))((p-2)/2)del u,) = h(x,u), where (M, g) is a compact, Riemannian manifold, 0 < alpha, 2 <= p < n. The nonlinear right-hand side h(x, s) is allowed to be subcritical or critical.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/52008
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