Multiple positive solutions for a class of concave-convex elliptic problems in R-N involving sign-changing weight

作者：Wu Tsung fang^*

来源：Journal of Functional Analysis, 2010, 258(1): 99-131.

DOI：10.1016/j.jfa.2009.08.005

• Semilinear elliptic equations
• Sign-changing weight
• Multiple positive solutions

In this paper, we study the multiplicity of positive solutions for the following concave-convex elliptic equation:
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where 1 < 1 < 2 < p < 2* (2* = 2N/N-2 if N >= 3, 2* = infinity if N = 1, 2) and the parameters lambda, mu >= 0. We assume that f(lambda)(x) = lambda f (+) f (-) (x) is sign-changing and g(mu)(x) = a(x) + mu b(x), where the functions f(+/-), a and b satisfy suitable conditions.

• 出版日期2010-1-1