A limiting free boundary problem for a degenerate operator in Orlicz–Sobolev spaces

A free boundary optimization problem involving the $\Phi$-Laplacian in Orlicz–Sobolev spaces is considered for the case where $\Phi$ does not satisfy the natural conditions introduced by Lieberman. A minimizer $u\Phi$ having non-degeneracy at the free boundary is proved to exist and some important c...

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Veröffentlicht in:	Revista matemática iberoamericana 2020-01, Vol.36 (6), p.1687-1720
Hauptverfasser:	Abrantes Santos, Jefferson, Monari Soares, Sergio
Format:	Artikel
Sprache:	eng ; spa
Schlagworte:	Functional analysis Partial differential equations Porosity
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