Electron. J. Diff. Equ., Vol. 2016 (2016), No. 220, pp. 1-10.

Multiple solutions for possibly degenerate equations in divergence form

Andrea Pinamonti

Abstract:
Via variational methods, we establish the existence of at least two distinct weak solutions for the Dirichlet problem associated to a possibly degenerate equation in divergence form.

Submitted June 22, 2016. Published August 16, 2016.
Math Subject Classifications: 35A01, 35A15.
Key Words: Carnot groups; multiplicity results; variational methods.

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Andrea Pinamonti
Universitá di Padova
Dipartimento di Matematica Pura ed Applicata
via Trieste 63, 35121 Padova, Italy
email: Andrea.Pinamonti@gmail.com

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