Partial regularity for elliptic systems with critical growth

DOI10.4171/RLM/971zbMath1500.35076MaRDI QIDQ2083982

Teresa Isernia, Chiara Leone, Anna Verde

Publication date: 17 October 2022

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

partial regularityelliptic systemsgeneral growth

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62)

Related Items

\(\mathcal{C}^{0, \alpha}\) partial regularity result for elliptic systems with discontinuous coefficients and Orlicz growth

Cites Work

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• The \(\varphi\)-harmonic approximation and the regularity of \(\varphi\)-harmonic maps
• Partial regularity for minimizers of discontinuous quasi-convex integrals with degeneracy
• Boundary regularity in variational problems
• Everywhere regularity of functionals with \(\varphi \)-growth
• The singular set of Lipschitzian minima of multiple integrals
• Partial continuity for elliptic problems
• Harmonic type approximation lemmas
• Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
• Some regularity results for quasilinear elliptic systems of second order
• Regularity of \(\omega\)-minimizers of quasi-convex variational integrals with polynomial growth
• A remark on \(L^{2,\lambda}\) regularity for minimizers of quasilinear functionals
• Optimal interior partial regularity for nonlinear elliptic systems: The method of \(A\)-harmonic approximation
• Partial Hölder regularity for elliptic systems with non-standard growth
• The \(p\)-harmonic approximation and the regularity of \(p\)-harmonic maps
• Quasiconvex variational functionals in Orlicz-Sobolev spaces
• Partial regularity result for non-autonomous elliptic systems with general growth
• Partial regularity results for quasimonotone elliptic systems with general growth
• Partial regularity for non-autonomous degenerate quasi-convex functionals with general growth
• The singular set of minima of integral functionals
• Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• Partial Hölder continuity for discontinuous elliptic problems with VMO-coefficients
• Boundary regularity for solutions of degenerate parabolic equations
• Fractional estimates for non-differentiable elliptic systems with general growth
• Linear Convergence of an Adaptive Finite Element Method for the p-Laplacian Equation
• Partial Regularity for Minimizers of Quasi-convex Functionals with General Growth
• PARTIAL REGULARITY OF THE MINIMIZERS OF QUADRATIC FUNCTIONALS WITH VMO COEFFICIENTS
• Partial regularity results for asymptotic quasiconvex functionals with general growth