A FRACTIONAL CRITICAL PROBLEM WITH SHIFTING SUBCRITICAL PERTURBATION

摘要

In this paper, we consider a class of fractional problem with subcritical perturbation on a bounded domain as follows: @@@ (P-k){ (-Delta)(s) u = g(x)[(u - k)(+)](q-1) + u(2)*(s-1), x is an element of Omega, @@@ u > 0, x is an element of Omega, @@@ u = 0, x is an element of R-N\Omega. @@@ We prove the existence of nontrivial solutions u(k) of (P-k) for each k is an element of (0, infinity). We also investigate the concentration behavior of the solutions u(k) as k -> infinity.

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