Local boundedness of quasi-minimizers of integral functionals with variable exponent anisotropic growth and applications
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Publication:601748
DOI10.1007/s00030-010-0072-3zbMath1198.49033OpenAlexW1986956078MaRDI QIDQ601748
Publication date: 29 October 2010
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00030-010-0072-3
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Cites Work
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- On improved regularity of weak solutions of some degenerate, anisotropic elliptic systems
- Quasi-minima
- An eigenvalue of an anisotropic quasilinear elliptic equation with variable exponent and Neumann boundary condition
- Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
- Regularity for minimizers of functionals with nonstandard growth by \(\mathcal A\)-harmonic approximation
- Regularity and nonexistence results for anisotropic quasilinear elliptic equations in convex domains
- Overview of differential equations with non-standard growth
- Regularity under sharp anisotropic general growth conditions
- Hölder continuity of solutions to an anisotropic elliptic equation
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- On Lavrentiev's phenomenon
- Partial regularity under anisotropic \((p,q)\) growth conditions
- Regularity of minimizers of vectorial integrals with \(p\)-\(q\) growth
- Density \(C_0^{\infty}(\mathbb{R}^n)\) in the generalized Sobolev spaces \(W^{m,p(x)}(\mathbb{R}^n)\).
- Local boundedness of minimizers of anisotropic functionals
- Electrorheological fluids: modeling and mathematical theory
- Sharp regularity for functionals with (\(p\),\(q\)) growth
- Existence and nonexistence results for anisotropic quasilinear elliptic equations
- The quasi-minimizer of integral functionals with \(m(x)\) growth conditions
- Nonhomogeneous boundary value problems in anisotropic Sobolev spaces
- Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
- \(C^{1,\alpha}\)-regularity for electrorheological fluids in two dimensions
- Gradient estimates for anisotropic elliptic equations
- Teoremi di inclusione per spazi di Sobolev non isotropi
- Additional contributions to the theory of non isotropic Sobolev spaces
- \(C^{1,\alpha}\)-solutions to non-autonomous anisotropic variational problems
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- On the theory of embedding of anisotropic Sobolev spaces
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Some remarks on the regularity of minima of anisotropic integrals
- Hamiltonian symmetric groups and multiple periodic solutions of differential delay equations
- A class of De Giorgi type and Hölder continuity
- Sobolev embeddings with variable exponent
- Maximal function on generalized Lebesgue spaces L^p(⋅)
- The regularity of Lagrangiansf(x, ξ)=254-01254-01254-01with Hölder exponents α(x)
- Existence and multiplicity of solutions for an anisotropic elliptic problem involving variable exponent growth conditions
- Regularity results for a class of functionals with non-standard growth
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
