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

Pomponio, A., Squassina, M., Locating the peaks of semilinear elliptic systems, <<ADVANCED NONLINEAR STUDIES>>, 2005; 5 (N/A): 441-460 [http://hdl.handle.net/10807/92795]

Locating the peaks of semilinear elliptic systems

Squassina, Marco
Ultimo
2005

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 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
Inglese
Pomponio, A., Squassina, M., Locating the peaks of semilinear elliptic systems, <<ADVANCED NONLINEAR STUDIES>>, 2005; 5 (N/A): 441-460 [http://hdl.handle.net/10807/92795]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/92795
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