Quasiconvexity and partial regularity via nonlinear potentials
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Publication:2145830
DOI10.1016/j.matpur.2022.05.001OpenAlexW3159279712MaRDI QIDQ2145830
Publication date: 15 June 2022
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.00503
Smoothness and regularity of solutions to PDEs (35B65) Methods involving semicontinuity and convergence; relaxation (49J45) Variational methods for second-order elliptic equations (35J20) Other generalizations (nonlinear potential theory, etc.) (31C45)
Related Items
Nonuniformly elliptic Schauder theory, Regularity for double phase problems at nearly linear growth, BMO-regularity for a degenerate transmission problem, Boundary regularity results for minimisers of convex functionals with \((p, q)\)-growth, Partial regularity of minimizers for double phase functionals with variable exponents, Gradient continuity for \(p(x)\)-Laplacian systems under minimal conditions on the exponent, Gradient regularity in mixed local and nonlocal problems, Potential estimates for fully nonlinear elliptic equations with bounded ingredients, Partial regularity for steady double phase fluids, Singular multiple integrals and nonlinear potentials, Local Lipschitz continuity for \(p, q\)-PDEs with explicit \(u\)-dependence
Cites Work
- Unnamed Item
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- A nonlinear Stein theorem
- The \(\varphi\)-harmonic approximation and the regularity of \(\varphi\)-harmonic maps
- Partial regularity and potentials
- Editor's note: the differentiability of functions in \({\mathbb{R}}^ n\)
- \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
- Higher integrability for variational integrals with non-standard growth
- Regularity of relaxed minimizers of quasiconvex variational integrals with \((p, q)\)-growth
- The singular set of Lipschitzian minima of multiple integrals
- Partial continuity for elliptic problems
- Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals
- Remarks on the regularity of the minimizers of certain degenerate functionals
- On the definition and the lower semicontinuity of certain quasiconvex integrals
- Quasiconvexity and partial regularity in the calculus of variations
- A regularity theorem for minimizers of quasiconvex integrals
- Regularity for a class of nonlinear elliptic systems
- Lower semicontinuity of quasi-convex integrals in BV
- On the non-locality of quasiconvexity
- Relaxation of multiple integrals below the growth exponent
- Partial regularity of strong local minimizers in the multi-dimensional calculus of variations
- Convex integration for Lipschitz mappings and counterexamples to regularity
- Riesz potential estimates for a class of double phase problems
- Partial regularity for manifold constrained \(p(x)\)-harmonic maps
- Partial regularity for BV minimizers
- Vectorial nonlinear potential theory
- Maximizing the \(L^ \infty{}\) norm of the gradient of solutions to the Poisson equation
- Sharp regularity for functionals with (\(p\),\(q\)) growth
- Regularity for degenerate elliptic problems via \(p\)-harmonic approximation
- On the regularity of minima of non-autonomous functionals
- Manifold constrained non-uniformly elliptic problems
- Growth conditions and regularity for weak solutions to nonlinear elliptic pdes
- Recent developments in problems with nonstandard growth and nonuniform ellipticity
- Lipschitz bounds and nonautonomous integrals
- On the singular set of minimizers of \(p(x)\)-energies
- A variational approach to parabolic equations under general and \(p,q\)-growth conditions
- Potential estimates for elliptic systems with subquadratic growth
- A necessary and sufficient condition for lower semicontinuity
- Riesz potential estimates for a general class of quasilinear equations
- Global boundedness of the gradient for a class of nonlinear elliptic systems
- Regularity of minimizers of \(W^{1,p}\)-quasiconvex variational integrals with \((p,q)\)-growth
- Singularities of minima: a walk on the wild side of the calculus of variations
- Linear and quasilinear elliptic equations
- \(C^{1,\alpha}\)-solutions to non-autonomous anisotropic variational problems
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- Quasi-convexity and the lower semicontinuity of multiple integrals
- On the regularity of minimizers for scalar integral functionals with \((p,q)\)-growth
- Partial regularity of 𝑝(𝑥)-harmonic maps
- An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
- Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations
- Parabolic Systems with Polynomial Growth and Regularity
- Regularity theorems for degenerate quasiconvex energies with (p, q)-growth
- Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
- The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent
- Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
- Riesz Potential Estimates for Parabolic Equations with Measurable Nonlinearities
- Partial Regularity for Minimizers of Quasi-convex Functionals with General Growth
- Integral Convexity and Parabolic Systems
- Lipschitz Bounds and Nonuniform Ellipticity
- Growth conditions and regularity, an optimal local boundedness result
- Guide to nonlinear potential estimates
- Non-Lipschitz minimizers of smooth uniformly convex functionals
- The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
- Boundary regularity for manifold constrained p(x)‐harmonic maps
