Nonlinear perturbations of a periodic Kirchhoff equation in R-N

作者：Alves, Claudianor O.; Figueiredo, Giovany M.^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2012, 75(5): 2750-2759.

DOI：10.1016/j.na.2011.11.017

• Variational methods
• Nonlocal problems
• Critical growth

This paper is concerned with the existence of positive solutions for the following class of nonlocal problem @@@ M(integral(RN)|del u|(2) dx + integral V-RN(x)|u|(2) dx) [-Delta u + V(x)u] = lambda f (u) + gamma u(tau) in R-N, @@@ where tau = 5 for N = 3 and tau is an element of (1, + infinity) for N = 1, 2, lambda is a positive parameter and gamma is an element of {0, 1}. Moreover, M, V, and f are continuous functions satisfying some conditions.

• 出版日期2012-3