Research
Multiple positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in ℝN
Author affiliations
Department of Natural Sciences in the Center for General Education, Chang Gung University, Tao-Yuan 333, Taiwan
Citation and License
Boundary Value Problems 2012, 2012:24 doi:10.1186/1687-2770-2012-24
Published: 24 February 2012Abstract
In this article, we investigate the effect of the coefficient f(z) of the sub-critical nonlinearity. For sufficiently large λ > 0, there are at least k + 1 positive solutions of the semilinear elliptic equations
where 1 ≤ q < 2 < p < 2* = 2N/(N - 2) for N ≥ 3.
AMS (MOS) subject classification: 35J20; 35J25; 35J65.
