Monotonicity in half-spaces of positive solutions to -\Delta_p u = f(u) in the case p > 2

DOI10.2422/2036-2145.201511_006zbMath1391.35164OpenAlexW2963754103MaRDI QIDQ3134254

Luigi Montoro, Alberto Farina, Berardino Sciunzi

Publication date: 9 February 2018

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.201511_006

zbMATH Keywords

positive solutionsquasilinear elliptic equations\(p\)-Laplacian

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (6)

Liouville theorems for stable solutions of \(p\)-Laplace equations with convex nonlinearities ⋮ Monotonicity of positive solutions to quasilinear elliptic equations in half-spaces with a changing-sign nonlinearity ⋮ Monotonicity and symmetry of positive solutions to degenerate quasilinear elliptic systems in half-spaces and strips ⋮ A priori estimates for some elliptic equations involving the \(p\)-Laplacian ⋮ Monotonicity of Positive Solutions to − Δp u + a(u)|∇u|q = f(u) in the Half-Plane in the Case $$p\leqslant 2$$ ⋮ On nonexistence of nonnegative monotone solutions for some coercive inequalities in a half-space

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