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

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