Subelliptic and parametric equations on Carnot groups

Molica Bisci, Giovanni; Ferrara, Massimiliano

doi:10.1090/proc/12948

Subelliptic and parametric equations on Carnot groups
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by Giovanni Molica Bisci and Massimiliano Ferrara

Proc. Amer. Math. Soc. 144 (2016), 3035-3045

DOI: https://doi.org/10.1090/proc/12948

Published electronically: November 6, 2015

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Abstract:

This article concerns a class of elliptic equations on Carnot groups depending on one real parameter. Our approach is based on variational methods. More precisely, we establish the existence of at least two weak solutions for the treated problem by using a direct consequence of the celebrated Pucci-Serrin theorem and of a local minimum result for differentiable functionals due to Ricceri.

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