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; Visetti, Daniela. - In: ADVANCES IN DIFFERENTIAL EQUATIONS. - ISSN 1079-9389. - 16:11-12(2011), pp. 1001-1020.
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.File in questo prodotto:
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