A Multiplicity Result for a Class of Elliptic Problems on a Compact Riemannian Manifold

作者：Lisei Hannelore; Varga Csaba^*

来源：Journal of Optimization Theory and Applications, 2015, 167(3): 912-927.

DOI：10.1007/s10957-013-0365-x

• Critical points
• Analysis on manifolds
• Multiple solutions
• Emden-Fowler problems

The existence of multiple solutions for a constrained eigenvalue problem on a compact Riemannian manifold without boundary is proved. In the framework of variational analysis, we use an Arcoya-Carmona type three critical points result. As an application an Emden-Fowler type equation is given.

• 出版日期2015-12