A Note on Quasilinear Elliptic Eigenvalue Problems
Date
1999-11-30
Authors
Arioli, Gianni
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We study an eigenvalue problem by a non-smooth critical point theory. Under general assumptions, we prove the existence of at least one solution as a minimum of a constrained energy functional. We apply some results on critical point theory with symmetry to provide a multiplicity result.
Description
Keywords
Quasilinear elliptic differential systems, Equivariant category, Non-smooth critical point theory, Eigenvalue problem, Lagrange multipliers
Citation
Arioli, G. (1999). A note on quasilinear elliptic eigenvalue problems. <i>Electronic Journal of Differential Equations, 1999</i>(47), pp. 1-12.
Rights
Attribution 4.0 International