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Publication:3517461
zbMath1152.31005MaRDI QIDQ3517461
Petteri Harjulehto, Visa Latvala
Publication date: 12 August 2008
Full work available at URL: https://eudml.org/doc/129472
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
fine topologynonlinear potential theorycapacities\(p\)-Laplacian of variable orderSobolev spaces of variable exponent
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Regularity of solutions in optimal control (49N60) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Other generalizations (nonlinear potential theory, etc.) (31C45)
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Existence of renormalized solutions to quasilinear elliptic problems with general measure data ⋮ The variable exponent BV-Sobolev capacity ⋮ Some properties of thinness and fine topology with relative capacity ⋮ The fundamental convergence theorem for \(p(\cdot )\)-superharmonic functions ⋮ Regularity of \(p(\cdot)\)-superharmonic functions, the Kellogg property and semiregular boundary points ⋮ Overview of differential equations with non-standard growth ⋮ The variable exponent Sobolev capacity and quasi-fine properties of Sobolev functions in the case \(p^-=1\) ⋮ Existence and non-existence results for nonlinear elliptic equations with nonstandard growth
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