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Some results on positive solutions of equations including the p-Laplacian operator

✍ Scribed by Céline Azizieh

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
207 KB
Volume
55
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we consider a problem of the type:

) with div ( b) 6 0 and f:R → [0; +∞) is a continuous function satisfying ∃C0; C1 ¿ 0 such that C0|u| q 6 f(u) 6 C1|u| q ∀u ∈ R + for some q ¿ max p -1; 1 p-1 . We study some properties of the operatorp(:) + b : ∇(:) and study the problem of a priori estimates and existence of positive solutions methods to the problem.

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Multiple positive pseudo-symmetric solut
Multiple positive pseudo-symmetric solutions of p-Laplacian dynamic equations on time scales
✍ You-Hui Su 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 959 KB

Let T be a pseudo-symmetric time scale such that 0, T ∈ T. We consider a three-point boundary value problem for p-Laplacian dynamic equations on time scales T. Some new sufficient conditions are obtained for the existence of at least single, twin, triple or arbitrary odd positive pseudo-symmetric so