科研之友
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摘要
Using penalization techniques and the Ljusternik-Schnirelmann theory, we establish the multiplicity and concentration of solutions for the following fractional Schrodinger equation @@@ { epsilon(2 alpha) (-Delta)(alpha)u + V(x)u = f(u), x is an element of R-N, u is an element of H-alpha (R-N), u > 0, x is an element of R-N, @@@ where 0 < alpha < 1, N > 2 alpha, epsilon > 0 is a small parameter, V satisfies the local condition, and f is superlinear and subcritical nonlinearity. We show that this equation has at least cat M-delta (M) single spike solutions.
