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Behavior of positive unbounded solutions for a class of nonhomogeneous -Laplacian like equations

✍ Scribed by Marta García-Huidobro; Cecilia S. Yarur

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
344 KB
Volume
69
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

✦ Synopsis

We study the behavior of positive radial solutions to

near an isolated singularity at x = 0. We classify the solutions under appropriate asymptotic behavior for A and f .

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Existence of positive solutions for -Lap
Existence of positive solutions for -Laplacian equations in unbounded domains
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In this paper, we study the existence of positive solutions for p(x)-Laplacian equations in unbounded domains. The existence is affected by the properties of the geometry and the topology of the domain.

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✍ Caisheng Chen; Lanfang Shi; Shenglan Zhu 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 230 KB

In this work we consider the nonexistence of a positive entire solution for the quasilinear elliptic system where p, q > 1 and α > q -1, β > p -1. We study the effect of the asymptotic behavior of f (x), g(x) and solutions at infinity on the nonexistence of a positive solution for Problem (0.1). So