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摘要
We establish the existence of nontrivial solutions for the following quasilinear Schrodinger equation with critical Sobolev exponent: -Delta u + V(x)u - Delta[l(u(2))]l'(u(2))u = lambda u(alpha 2* 1) + h(u), x epsilon R-N, where V(x) : R-N -> R is a given potential and l, h are real functions, lambda >= 0, alpha > 1, 2* = 2N/(N - 2), N >= 3. Our results cover two physical models l(s) = s(alpha/2) and l(s) = (1 + s)(alpha/2) with alpha >= 3/2.
- 出版日期2016-5
- 单位华南理工大学
