The maximum principle with lack of monotonicity

DOI10.14232/ejqtde.2018.1.58zbMath1413.35198OpenAlexW2811243431MaRDI QIDQ4584645

Patrizia Pucci, Vicenţiu D. Rădulescu

Publication date: 3 September 2018

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2018.1.58

zbMATH Keywords

positive solutiongeneralized maximum principlenormal derivative\((pnonlinear differential inequalityq)\)-operator

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Comparison principles in context of PDEs (35B51)

Related Items (13)

On the strong maximum principle ⋮ A note on boundary point principles for partial differential inequalities of elliptic type ⋮ Existence and uniqueness of nontrivial radial solutions for \(k\)-Hessian equations ⋮ Strong maximum principle for some quasilinear Dirichlet problems having natural growth terms ⋮ Monotonicity of solutions for nonlocal double phase equations in bounded domains and the whole space ⋮ Existence and multiplicity results for anisotropic double-phase differential inclusion with unbalanced growth and lack of compactness ⋮ A Vázquez-type strong minimum/maximum principle for partial trace operators ⋮ On a strong maximum principle for fully nonlinear subelliptic equations with Hörmander condition ⋮ Hölder regularity for nonlocal double phase equations ⋮ Maximum principles for \(k\)-Hessian equations with lower order terms on unbounded domains ⋮ The Vázquez maximum principle and the Landis conjecture for elliptic PDE with unbounded coefficients ⋮ Regularity properties for a class of non-uniformly elliptic Isaacs operators ⋮ Self-improving inequalities for bounded weak solutions to nonlocal double phase equations

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