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On a class of semipositone quasilinear elliptic boundary value problems

✍ Scribed by Y.S. Choi; E.H. Kim

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
97 KB
Volume
46
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Positive solutions for a class of singul
Positive solutions for a class of singular semipositone boundary value problems
✍ S. StanΔ›k πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 571 KB

The paper presents sufficient conditions for the existence of positive solutions to the singular boundary value problem I" = pq(t)f(t, z,z'), W(O) -&T'(O) = a > 0, z(T) = 0 with q > 0 on (O,T), f 2 0 on a suitable subset of (O,T] x (0,oo) x R which may be singular at z = 0 and where either a, p E (0

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We are concerned with quasilinear partial differential equations of elliptic type which are degenerate; in particular we investigate the range of such quasilinear differential operators and properties of the solution operator. For elliptic problems which are semilinear in nature, much has been accom