Modular uniform convexity structures and applications to boundary value problems with non-standard growth
DOI10.1016/j.jmaa.2024.128203arXiv2310.16130OpenAlexW4391617154WikidataQ128309209 ScholiaQ128309209MaRDI QIDQ6126754
Osvaldo Méndez, Mohamed Amine Khamsi
Publication date: 10 April 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2310.16130
Dirichlet problemSobolev spacesuniform convexitymodular spacesvariable exponent spacesnon-standard growth
Normed linear spaces and Banach spaces; Banach lattices (46Bxx) Linear function spaces and their duals (46Exx) Elliptic equations and elliptic systems (35Jxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lebesgue and Sobolev spaces with variable exponents
- Orlicz spaces and modular spaces
- On an open problem involving the \(p(x)\)-Laplacian-A further study on the multiplicity of weak solutions to \(p(x)\)-Laplacian equations
- Elliptic boundary value problems with nonstandard growth conditions
- Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
- Regularity results for electrorheological fluids: The stationary case
- Existence results to elliptic systems with nonstandard growth conditions
- Regularity results for stationary electro-rheological fluids
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- Existence of positive solutions for a class of \(p(x)\)-Laplacian systems
- Renormalized and entropy solutions for nonlinear parabolic equations with variable exponents and \(L^{1}\) data
- On geometric properties of the spaces \(L^{p(x)}\)
- Elliptic equations and systems with nonstandard growth conditions: existence, uniqueness and localization properties of solutions
- Entropy solutions for the $p(x)$-Laplace equation
- On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
- Uniform convexity of Banach spaces l({p_{i}})
- A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
- Mathematical modeling of electrorheological materials
This page was built for publication: Modular uniform convexity structures and applications to boundary value problems with non-standard growth
