Relative Superlinearity Implies Infinitely Many Solutions to Sturm-Liouville BVPs with Laplacian Type Operators

Authors
Ge, Wei Gao Sun, Wei Ping
Citation
Ge, Wei Gao et Sun, Wei Ping, Relative Superlinearity Implies Infinitely Many Solutions to Sturm-Liouville BVPs with Laplacian Type Operators, Acta mathematica Sinica. English series (Print) , 21(5), 2005, pp. 1015-1026
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
21
Issue
5
Year of publication
2005
Pages
1015 - 1026
Database
ACNP
SICI code
Abstract
By the use of continuation theorems and the duality principle its proved that for both homogeneous and nonhomogeneous SturmLiouville boundary value problems with Laplacian type operators, relative superlinearity implies the existence of infinitely many solutions under a few weakly added conditions.