The strong minimum principle for quasisuperminimizers of non-standard growth

DOI10.1016/j.anihpc.2011.06.001zbMath1251.49028OpenAlexW2144528096MaRDI QIDQ643455

Petteri Harjulehto, Peter A. Hästö, Visa Latvala, Olli Toivanen

Publication date: 28 October 2011

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2011.06.001

zbMATH Keywords

maximum principleminimum principleDirichlet energyvariable exponentweak Harnack inequalitynon-standard growthde Giorgi method

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Regularity of solutions in optimal control (49N60)

Related Items (11)

The boundary Harnack inequality for variable exponent \(p\)-Laplacian, Carleson estimates, barrier functions and \(p(\cdot)\)-harmonic measures ⋮ A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces ⋮ Generalized superharmonic functions with strongly nonlinear operator ⋮ An eigenvalue problem with variable exponents ⋮ Computing the first eigenpair for problems with variable exponents ⋮ Harnack's inequality and the strong \(p(\cdot )\)-Laplacian ⋮ On the solvability of variable exponent differential inclusion systems with multivalued convection term ⋮ Regularity of \(p(\cdot)\)-superharmonic functions, the Kellogg property and semiregular boundary points ⋮ Weak Harnack estimates for quasiminimizers with non-standard growth and general structure ⋮ Existence and non-existence results for nonlinear elliptic equations with nonstandard growth ⋮ Generalized Harnack inequality for nonhomogeneous elliptic equations

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