Abstract

This article deals with an anti-maximum principle to the degenerate case and to elliptic boundary value problems with indefinite weight function which include the Dirichlet and Robin boundary conditions as special cases. The result extends an earlier theorem by Clément and Peletier [An anti-maximum principle for second-order elliptic operators, J. Diff. Eqns. 34 (1979), pp. 218–229] to the degenerate case.

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