Locating the peaks of semilinear elliptic systems
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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 $Σ$ 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 $Σ$ in the sense of subdifferential calculus.
To appear on Advanced Nonlinear Studies, 21 pages
To appear on Advanced Nonlinear Studies, 21 pages