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.
Cingolani, S., Vannella, G., Visetti, D. (2011). Morse index estimates for quasilinear equations on Riemannian manifolds. ADVANCES IN DIFFERENTIAL EQUATIONS, 16(11-12), 1001-1020.
Morse index estimates for quasilinear equations on Riemannian manifolds
Visetti D
2011
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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