Continuous imbedding theorems in Musielak spaces

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Elliptic equations and elliptic systems (35Jxx) Harmonic analysis in several variables (42Bxx)

Cites Work

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An imbedding theorem for Musielak-Sobolev spaces
Real-variable theory of Musielak-Orlicz Hardy spaces
Lebesgue and Sobolev spaces with variable exponents
Orlicz spaces and modular spaces
Proprietà di alcune classi di funzioni in più variabili
Solutions for a quasilinear elliptic equation in Musielak-Sobolev spaces
The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
Sobolev inequalities with variable exponent attaining the values 1 and \(n\)
Functional analysis, Sobolev spaces and partial differential equations
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On the modeling of electrorheological materials
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Gossez's approximation theorems in Musielak-Orlicz-Sobolev spaces
Orlicz spaces and generalized Orlicz spaces
Nonlinear elliptic partial differential equations. An introduction
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Orlicz-Sobolev embeddings, extensions and Orlicz-Poincaré inequalities
\(H=W\) Musielak spaces framework
Variational nonlinear elliptic equations in nonreflexive Musielak spaces
Orlicz-Sobolev spaces and imbedding theorems
Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
Sobolev and Trudinger type inequalities on grand Musielak-Orlicz-Morrey spaces
Some approximation results in Musielak-Orlicz spaces
Sobolev embeddings with variable exponent
Sharp conditions for the compactness of the Sobolev embedding on Musielak–Orlicz spaces
A sharp embedding theorem for Orlicz-Sobolev spaces
Imbedding results in Musielak-Orlicz spaces with an application to anisotropic nonlinear Neumann problems
Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces
Monotonicity methods in generalized Orlicz spaces for a class of non-Newtonian fluids
Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)

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