On an asymptotically p-linear p-Laplacian equation in R-N
- Liu, Jiaquan
- Liu, Xiangqing
- Guo, Yuxia
Publication date
January 2011
DOI Publisher
nonlinear analysis theory methods applications Journal
issn:0362-546XAbstract
In this paper, we study the existence of positive solutions and sign-changing solutions for the p-Laplacian equation -Delta(p)u + lambda g(x) vertical bar u vertical bar(p-2) u = f(x, u), x is an element of R-N, where lambda is a positive parameter and the nonlinear term f is superlinear at zero and asymptotically p-linear at infinity. (C) 2010 Elsevier Ltd. All rights reserved.Mathematics, AppliedMathematicsSCI(E)EI2ARTICLE2676-6887
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