A general notion of uniform ellipticity and the regularity of the stress field for elliptic equations in divergence form
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Publication:6145240
DOI10.2140/apde.2023.16.1955zbMath1530.30027arXiv2105.12546OpenAlexW3164292945MaRDI QIDQ6145240
Sun-ra J. N. Mosconi, Umberto Guarnotta
Publication date: 9 January 2024
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.12546
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Smoothness and regularity of solutions to PDEs (35B65) Quasilinear elliptic equations (35J62)
Cites Work
- Unnamed Item
- Unnamed Item
- Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs
- Global Lipschitz continuity for minima of degenerate problems
- Regularity results for very degenerate elliptic equations
- Gradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations
- BMO estimates for the \(p\)-Laplacian
- Regularity, monotonicity and symmetry of positive solutions of \(m\)-Laplace equations
- Second-order two-sided estimates in nonlinear elliptic problems
- Mappings with convex potentials and the quasiconformal Jacobian problem
- Gradient estimates below the duality exponent
- On singular sets of local solutions to \(p\) -Laplace equations
- Growth conditions and regularity. A counterexample
- Interior \(W^{2,p}\) estimates for non-divergence elliptic equations with discontinuous coefficients
- Regularity for a class of nonlinear elliptic systems
- A geometrical approach to monotone functions in \(\mathbb{R}^n\)
- Regularity results for elliptic equations in Lipschitz domains
- Quasilinear elliptic problems with general growth and merely integrable, or measure, data
- Nonlinear Calderón-Zygmund theory in the limiting case
- Pointwise Calderón-Zygmund gradient estimates for the \(p\)-Laplace system
- Higher integrability for minimizers of integral functionals with \((p,q)\) growth
- Linear potentials in nonlinear potential theory
- A proof of the \(C^{p^\prime}\)-regularity conjecture in the plane
- Global Schauder estimates for the \(p\)-Laplace system
- A pointwise differential inequality and second-order regularity for nonlinear elliptic systems
- Symmetry results for critical anisotropic \(p\)-Laplacian equations in convex cones
- Fully anisotropic elliptic problems with minimally integrable data
- Higher order Calderón-Zygmund estimates for the \(p\)-Laplace equation
- Optimal second-order regularity for the \(p\)-Laplace system
- On the Lavrentiev phenomenon for multiple integral scalar variational problems
- Lectures on \(n\)-dimensional quasiconformal mappings
- A Regularity Result for the p-Laplacian Near Uniform Ellipticity
- Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Local regularity properties for the solutions of a nonlinear partial differential equation
- The regularity of solutions to some variational problems, including the p-Laplace equation for 2 ≤ p< 3
- Towards the $C^{p^\prime}$-Regularity Conjecture in Higher Dimensions
- Notes on the Stationary p-Laplace Equation
- Fractional differentiability for solutions of the inhomogeneous 𝑝-Laplace system
- Local Stress Regularity in Scalar Nonconvex Variational Problems
- Lipschitz Bounds and Nonuniform Ellipticity
- The Theory of Quasiconformal Mappings in Higher Dimensions, I
- Quasiconformal geometry of monotone mappings
- On Homeomorphism Groups and the Compact-Open Topology
- On some regular multiple integral problems in the calculus of variations
- Congested traffic dynamics, weak flows and very degenerate elliptic equations
- Interior regularity results for inhomogeneous anisotropic quasilinear equations
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