Ground state solutions for the singular Lane-Emden-Fowler equation with sublinear convection term

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:333

Article

Ghergu, Marius ; Radulescu, Vicentiu

关键词: ground state solution;    singular elliptic equation;    convection term;    maximum principle;   

DOI  :  10.1016/j.jmaa.2006.09.074

来源: Elsevier

【 摘 要 】

We are concerned with singular elliptic equations of the form -Delta u = p(x)(g(u) + f(u) + vertical bar del u vertical bar(a)) in R-N (N >= 3), where rho is a positive weight and 0 < a < 1. Under the hypothesis that f is a nondecreasing function with sublinear growth and g is decreasing and unbounded around the origin, we establish the existence of a ground state solution vanishing at infinity. Our arguments rely essentially on the maximum principle. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

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