Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces

From MaRDI portal
Publication:5159281

DOI10.1007/978-3-030-88856-5zbMath1490.35001OpenAlexW3209185297MaRDI QIDQ5159281

Iwona Skrzypczak, Agnieszka Świerczewska-Gwiazda, Aneta Wróblewska-Kamińska, Piotr Gwiazda

Publication date: 26 October 2021

Published in: Springer Monographs in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-88856-5




Related Items (28)

Measure data elliptic problems with generalized Orlicz growthRegularity theory for non-autonomous partial differential equations without Uhlenbeck structureGeneralized superharmonic functions with strongly nonlinear operatorFractional operators and their commutators on generalized Orlicz spacesOn a range of exponents for absence of Lavrentiev phenomenon for double phase functionalsBoundedness of solutions to Dirichlet, Neumann and Robin problems for elliptic equations in Orlicz spacesThe stochastic p -Laplace equation on ℝ d Regularity theory for non-autonomous problems with a priori assumptionsGeneralized Orlicz spaces of Banach-valued functions: basic theory and dualityExistence of a capacity solution to a nonlinear parabolic-elliptic coupled system in anisotropic Orlicz-Sobolev spacesPeriodic solutions for nonlinear systems of ODE's with generalized variable exponents operatorsGradient estimate for the minimizers in Musielak–Orlicz–Sobolev spaceNew homogenization results for convex integral functionals and their Euler-Lagrange equationsAbsence and presence of Lavrentiev's phenomenon for double phase functionals upon every choice of exponentsA direct proof of existence of weak solutions to elliptic problemsOn the Fenchel-Moreau conjugate of \(G\)-function and the second derivative of the modular in anisotropic Orlicz spacesLocal Morrey estimate in Musielak-Orlicz-Sobolev spaceThe Lavrentiev phenomenon in calculus of variations with differential formsHigher-order chain rules for tensor fields, generalized Bell polynomials, and estimates in Orlicz-Sobolev-Slobodeckij and total variation spacesBloch estimates in non-doubling generalized Orlicz spacesEquivalence of weak and viscosity solutions for the nonhomogeneous double phase equationNon-Newtonian fluids with discontinuous-in-time stress tensorUnnamed ItemUnnamed ItemRemovable sets in non-uniformly elliptic problemsUniform convexity, reflexivity, superreflexivity and \(B\) convexity of generalized Sobolev spaces \(W^{1, \Phi }\)Modular density of smooth functions in inhomogeneous and fully anisotropic Musielak-Orlicz-Sobolev spacesA fundamental condition for harmonic analysis in anisotropic generalized Orlicz spaces




This page was built for publication: Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces