Extremum problems for Laplacian eigenvalues with free boundary
โ Scribed by A.S. Bratus'; A.D. Myshkis
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 942 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We study nonlinear eigenvalue problems for the p-Laplace operator subject to different kinds of boundary conditions on a bounded domain. Using the Ljusternik-Schnirelman principle, we show the existence of a nondecreasing sequence of nonnegative eigenvalues. We prove the simplicity and isolation of
P, not in the open region R. For any such point P, let S, denote the closed segment of the net joining P to P, . For each k = 1, \* \* , 9, the point of S, n C closest to P will be called a boundary fioint of the net. The set of boundary points will be denoted b y C, . Some points of C, may be nodes