Local Morrey estimate in Musielak-Orlicz-Sobolev space
نویسندگان
چکیده
Under appropriate assumptions on the $N(\Omega)$-fucntion, locally uniform Morrey estimate is presented in Musielak-Orlicz-Sobolev space. The include a new increasing condition $x$-derivative of Young complementary function $N(\Omega)$-fucntion. conclusion applies to several important nonlinear examples frequently appeared mathematical literature.
منابع مشابه
Some Approximation Properties in Musielak-Orlicz-Sobolev Spaces
Some approximation theorems involving the modular convergence, which improve known density results of interest in the existence theory for strongly nonlinear boundary value problems are presented.
متن کاملStrongly almost ideal convergent sequences in a locally convex space defined by Musielak-Orlicz function
In this article, we introduce a new class of ideal convergent sequence spaces using an infinite matrix, Musielak-Orlicz function and a new generalized difference matrix in locally convex spaces. We investigate some linear topological structures and algebraic properties of these spaces. We also give some relations related to these sequence spaces.
متن کاملNonsquareness in Musielak-Orlicz-Bochner Function Spaces
and Applied Analysis 3 Proposition 1.2. Function σ t is μ-measurable. Proof. Pick a dense set {ri}i 1 in 0,∞ and set Bk { t ∈ T : M ( t, 1 2 rk ) 1 2 M t, rk } , qk t rkχBk t k ∈ N . 1.7 It is easy to see that for all k ∈ N, σ t ≥ qk t μ-a.e on T . Hence, supk≥1qk t ≤ σ t . For μ-a.e t ∈ T , arbitrarily choose ε ∈ 0, σ t . Then, there exists rk ∈ σ t − ε, σ t such that M t, 1/2 rk 1/2 M t, rk ,...
متن کاملAnisotropic interpolation theorems of Musielak-Orlicz type
*Correspondence: [email protected] College of Mathematics and System Science, Xinjiang University, Urumqi, 830046, P.R. China Abstract Anisotropy is a common attribute of Nature, which shows different characterizations in different directions of all or part of the physical or chemical properties of an object. The anisotropic property, in mathematics, can be expressed by a fairly general discret...
متن کاملAn Orlicz-sobolev Space Setting for Quasilinear Elliptic Problems
In this paper we give two existence theorems for a class of elliptic problems in an Orlicz-Sobolev space setting concerning both the sublinear and the superlinear case with Neumann boundary conditions. We use the classical critical point theory with the Cerami (PS)-condition.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topological Methods in Nonlinear Analysis
سال: 2023
ISSN: ['1230-3429']
DOI: https://doi.org/10.12775/tmna.2023.001