AN OPTIMIZATION PROBLEM FOR THE FIRST WEIGHTED EIGENVALUE PROBLEM PLUS A POTENTIAL

作者：Del Pezzo Leandro M^*; Fernandez Bonder Julian

来源：Proceedings of the American Mathematical Society, 2010, 138(10): 3551-3567.

DOI：10.1090/S0002-9939-10-10384-0

• Optimization
• nonlinear eigenvalues
• rearrangements

In this paper, we study the problem of minimizing the first eigenvalue of the p-Laplacian plus a potential with weights when the potential and the weight are allowed to vary in the class of rearrangements of a given fixed potential V-0 and weight g(0). Our results generalize those obtained in earlier papers.

• 出版日期2010-10