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arXiv · 1907.12689

Van der Waals--Allen--Cahn--Hilliard equation with a volume constraint

Vieri Benci·Stefano Nardulli·Paolo Piccione
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Abstract

We give multiplicity results for the solutions of a nonlinear elliptic equation, with an asymmetric double well potential of Van der Waals-Allen--Cahn--Hilliard type, satisfying a linear volume constraint, on a bounded Lipschitz domain $\Omega\subset\mathds R^N$. The number of solutions is estimated in terms of topological and homological invariants of the underlying domain $\Omega$.

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Vieri Benci, Stefano Nardulli, Paolo Piccione. 2019-07-29. Van der Waals--Allen--Cahn--Hilliard equation with a volume constraint. https://doi.org/10.1007/s00526-020-1724-8

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