Estimates for eigenvalues of quasilinear elliptic systems
By Pablo De Nápoli, Juan Pablo Pinasco. 2006
72 citations recorded by the source corpus.
In this paper we introduce the generalized eigenvalues of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many continuous eigencurves, which are obtained by variational methods. For the one-dimensional problem, we obtain an hyperbolic type function defining a region which contains all the generalized eigenvalues (variational or not), and the proof is based on a suitable generalization of Lyapunov’s inequality for systems of ordinary differential equations. We also obtain a family of curves bounding by above the kth variational eigencurve.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/21ead078f3ee2a80abc24b17e073056cb0aa4eb9
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In Applied Mathematics
In Computational Theory and Mathematics
Citations in the corpus
- Recent Developments of Lyapunov-type Inequalities (2010, background): “In 2006, Napoli and Pinasco [20] generalized the Lyapunov inequality for quasilinear systems as follows.”