Elliptic problems in generalized Orlicz-Musielak spaces
From MaRDI portal
Publication:1935673
DOI10.2478/s11533-012-0126-3zbMath1268.35056OpenAlexW2071148982MaRDI QIDQ1935673
Aneta Wróblewska-Kamińska, Piotr Gwiazda, Piotr Minakowski
Publication date: 18 February 2013
Published in: Central European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/s11533-012-0126-3
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30)
Related Items
A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces ⋮ Strongly nonlinear elliptic boundary value problems in Musielak-Orlicz spaces ⋮ Existence and qualitative theory for nonlinear elliptic systems with a nonlinear interface condition used in electrochemistry ⋮ Existence of renormalized solutions to elliptic equation in Musielak-Orlicz space ⋮ Renormalized solutions to nonlinear parabolic problems in generalized Musielak-Orlicz spaces ⋮ A direct proof of existence of weak solutions to elliptic problems ⋮ On quasilinear elliptic systems with growth conditions in Orlicz-Sobolev spaces ⋮ Variational nonlinear elliptic equations in nonreflexive Musielak spaces ⋮ Nonlinear parabolic problems in Musielak-Orlicz spaces ⋮ Homogenization of nonlinear elliptic systems in nonreflexive Musielak–Orlicz spaces ⋮ On renormalized solutions to elliptic inclusions with nonstandard growth ⋮ Entropy solutions for parabolic equations in Musielak framework without sign condition and with measure data ⋮ Abstract-valued Orlicz spaces of range-varying type ⋮ Liouville theorems for elliptic problems in variable exponent spaces ⋮ Well-posedness of parabolic equations in the non-reflexive and anisotropic Musielak-Orlicz spaces in the class of renormalized solutions ⋮ Existence of solutions for some nonlinear elliptic problems involving Minty's lemma ⋮ Elliptic inequalities with lower-order terms and \(L^1\) data in Musielak-Orlicz spaces ⋮ Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces ⋮ Entropy and renormalized solutions to the general nonlinear elliptic equations in Musielak-Orlicz spaces ⋮ Parabolic equation in time and space dependent anisotropic Musielak-Orlicz spaces in absence of Lavrentiev's phenomenon ⋮ Modular density of smooth functions in inhomogeneous and fully anisotropic Musielak-Orlicz-Sobolev spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized Stokes system in Orlicz spaces
- Renormalized solutions of nonlinear elliptic problems in generalized Orlicz spaces
- Orlicz spaces and modular spaces
- Steady flow of non-Newtonian fluids - monotonicity methods in generalized Orlicz spaces
- On steady non-Newtonian fluids with growth conditions in generalized Orlicz spaces
- Pseudo-monotone mappings in Sobolev-Orlicz spaces and nonlinear boundary value problems on unbounded domains
- Nonlinear elliptic boundary value problems in Orlicz-Sobolev spaces
- Parabolic Equations in Anisotropic Orlicz Spaces with General N-functions
- ON NON-NEWTONIAN FLUIDS WITH A PROPERTY OF RAPID THICKENING UNDER DIFFERENT STIMULUS
- Variational inequalities in Orlicz-Sobolev spaces
- Some approximation properties in Orlicz-Sobolev spaces
- On monotone-like mappings in Orlicz-Sobolev spaces
- Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
- Monotonicity methods in generalized Orlicz spaces for a class of non-Newtonian fluids
