Nonexistence of positive supersolutions to some nonlinear elliptic problems
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Publication:390813
DOI10.1016/j.matpur.2012.10.001zbMath1291.35067OpenAlexW1965159361MaRDI QIDQ390813
Salomón Alarcón, Jorge García-Melián, Alexander Quaas
Publication date: 9 January 2014
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2012.10.001
comparison principlenonlinear elliptic problemsLiouville type theoremspositive supersolutionsgradient term
Nonlinear elliptic equations (35J60) Blow-up in context of PDEs (35B44) Quasilinear elliptic equations (35J62) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Related Items (16)
On the Liouville property for fully nonlinear equations with superlinear first-order terms ⋮ Classification of supersolutions and Liouville theorems for some nonlinear elliptic problems ⋮ A note on the nonexistence of positive supersolutions to elliptic equations with gradient terms ⋮ Nonexistence results for elliptic equations with gradient terms ⋮ Existence and regularity of nonlinear advection problems ⋮ Local behaviour of the solutions of the Chipot-Weissler equation ⋮ Positive supersolutions of non-autonomous quasilinear elliptic equations with mixed reaction ⋮ Trace and boundary singularities of positive solutions of a class of quasilinear equations ⋮ A priori estimates for elliptic equations with reaction terms involving the function and its gradient ⋮ Explicit estimates on positive supersolutions of nonlinear elliptic equations and applications ⋮ A note on Liouville type theorem of elliptic inequality \(\delta u+u^\sigma\leqslant 0\) on Riemannian manifolds ⋮ Liouville type theorems for elliptic systems involving gradient terms ⋮ Study of the existence of supersolutions for nonlocal equations with gradient terms ⋮ Radial solutions of scaling invariant nonlinear elliptic equations with mixed reaction terms ⋮ Liouville theorems for elliptic systems with nonlinear gradient terms ⋮ Liouville theorems for nonlinear elliptic equations in half-spaces
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