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arXiv · 1608.07071

Multiple solutions for elliptic equations involving a general operator in divergence form

Giovanni Molica Bisci·Dušan Repovš
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Abstract

In this paper, exploiting variational methods, the existence of three weak solutions for a class of elliptic equations involving a general operator in divergence form and with Dirichlet boundary condition is investigated. Several special cases are analyzed. In conclusion, for completeness, a concrete example of an application is presented by finding the existence of three nontrivial weak solutions for an uniformly elliptic second-order problem on a bounded Euclidean domain.

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Giovanni Molica Bisci, Dušan Repovš. 2016-08-25. Multiple solutions for elliptic equations involving a general operator in divergence form. https://doi.org/10.5186/aasfm.2014.3909

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