A semilinear elliptic PDE not in divergence form via variational methods |
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Authors: | Raffaella Servadei |
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Affiliation: | Dipartimento di Matematica, Università della Calabria, Ponte Pietro Bucci 31 B, 87036 Arcavacata di Rende (Cosenza), Italy |
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Abstract: | In this paper we consider a semilinear equation driven by an operator not in divergence form. Precisely, the principal part of the operator is in divergence form, but it has also a lower order term depending on Du. While the right-hand side of the equation satisfies superlinear and subcritical growth conditions at zero and at infinity. The problem has not a variational structure, but, despite that, we use variational techniques in order to prove an existence and regularity result for the equation. |
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Keywords: | Semilinear elliptic PDE Variational methods Critical points theory Iterative techniques Regularity results |
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