"Mappings of Finite Distortion and PDE with Nonstandard Growth"

DOI10.1093/imrn/rnp192zbMath1206.35134OpenAlexW2167044069MaRDI QIDQ3569193

Tomasz Adamowicz, Peter A. Hästö

Publication date: 17 June 2010

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/69f61021c85213adcf2abf4fcf638b5f4d5baab9

zbMATH Keywords

weak solutions\(p\)-Laplacianquasiregular mappingsSobolev spaces of variable ordervariable order partial differential operators

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (17)

The boundary Harnack inequality for variable exponent \(p\)-Laplacian, Carleson estimates, barrier functions and \(p(\cdot)\)-harmonic measures ⋮ Hölder gradient regularity for the inhomogeneous normalized \(p(x)\)-Laplace equation ⋮ The sublinear problem for the 1-homogeneous 𝑝-Laplacian ⋮ Equivalence of viscosity and weak solutions for the normalized \(p(x)\)-Laplacian ⋮ Random walks and random tug of war in the Heisenberg group ⋮ Harnack's inequality and the strong \(p(\cdot )\)-Laplacian ⋮ Equivalence of viscosity and weak solutions for the \(p(x)\)-Laplacian ⋮ Global regularity for a class of fully nonlinear PDEs with unbalanced variable degeneracy ⋮ On isolated singularities of mappings with finite length distortion ⋮ Kato’s inequality for the strong $p(\cdot )$-Laplacian ⋮ Phragmén-Lindelöf theorems for equations with nonstandard growth ⋮ The strong minimum principle for quasisuperminimizers of non-standard growth ⋮ Regularity of \(p(\cdot)\)-superharmonic functions, the Kellogg property and semiregular boundary points ⋮ Gradient estimates for the strong \(p(x)\)-Laplace equation ⋮ Overview of differential equations with non-standard growth ⋮ Equivalence of weak and viscosity solutions to the \({\mathtt{p}}(x)\)-Laplacian in Carnot groups ⋮ Hölder regularity for the gradients of solutions of the strong \(p(x)\)-Laplacian

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