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Published in 2019 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2019.05.017
Abstract: We show that a wide range of overdetermined boundary problems for semilinear equations with position-dependent nonlinearities admits nontrivial solutions. The result holds true both on the Euclidean space and on compact Riemannian manifolds. As a…
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Keywords:
equations position;
overdetermined boundary;
dependent nonlinearities;
position dependent ... See more keywords