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Lane–Emden–Fowler equations with convection and singular potential

✍ Scribed by Louis Dupaigne; Marius Ghergu; Vicenţiu Rădulescu

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
223 KB
Volume
87
Category
Article
ISSN
0021-7824

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✦ Synopsis

We are concerned with singular elliptic problems of the form

and f is a nondecreasing function. We assume that p(d(x)) is a positive weight with possible singular behavior on the boundary of Ω and that the nonlinearity g is unbounded around the origin. Taking into account the competition between the anisotropic potential p(d(x)), the convection term |∇u| a , and the singular nonlinearity g, we establish various existence and nonexistence results.

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