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A note on existence-uniqueness results for a class of doubly singular boundary value problems

โœ Scribed by R.K. Pandey; A.K. Verma

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
611 KB
Volume
71
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

In this paper we establish the existence and uniqueness of solution for nonlinear singular

Here p(0) = 0 and also q is not assumed to be continuous at 0, so the problem may be doubly singular. In this note, we discuss the cases when y (0) = 0 at the singular end is not possible but lim xโ†’0 p(x)y (x) = 0. Regions for multiple solutions have also been determined.

๐Ÿ“œ SIMILAR VOLUMES

Existence implies uniqueness for a class
Existence implies uniqueness for a class of singular anisotropic elliptic boundary value problems
โœ Florica ลžt. Cรฎrstea; Vicenลฃiu D. Radulescu ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 89 KB ๐Ÿ‘ 1 views

## Abstract We consider a singular anisotropic quasilinear problem with Dirichlet boundary condition and we establish two sufficient conditions for the uniqueness of the solution, provided such a solution exists. The proofs use elementary tools and they are based on a general comparison lemma combi