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Positive solutions for a concave semipositone Dirichlet problem

✍ Scribed by Alfonso Castro; R. Shivaji

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
433 KB
Volume
31
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

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In this paper, we consider the existence of positive solutions to the following semipositone (k, nk) conjugate eigenvalue problems (SCEP): where n β‰₯ 2, 1 < k < n -1 and Ξ» > 0 is positive parameter. The nonlinear function f may change sign for 0 < t < 1, i.e., we allow that the nonlinear term f is b

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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