Locating the peaks of semilinear elliptic systems
Abstract
We consider a system of weakly coupled singularly perturbed semilinear elliptic equations. First, we obtain a Lipschitz regularity result for the associated ground energy function as well as representation formulas for the left and the right derivatives. Then, we show that the concentration points of the solutions locate close to the critical points of in the sense of subdifferential calculus.
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