Regularity results for a class of quasiconvex functionals with nonstandard growth
Emilio Acerbi, Giuseppe Mingione (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “On the notion of gradient. I. Essentiality of regularity suppositions”
Regularity results for a class of quasiconvex functionals with nonstandard growth
A new regularity criterion for strong solutions to the Ericksen-Leslie system
Sadek Gala, Maria Alessandra Ragusa (2016)
Applicationes Mathematicae
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A regularity criterion for strong solutions of the Ericksen-Leslie equations is established in terms of both the pressure and orientation field in homogeneous multiplier spaces.
Remarks on the regularity of the minimizers of certain degenerate functionals
Mariano Giaquinta, Giuseppe Modica (1986/87)
Manuscripta mathematica
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Regularity results for anisotropic image segmentation models
Irene Fonseca, Nicola Fusco (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On the existence and regularity of solutions to the problem of transmission
Wojciech M. Zajączkowski (1990)
Banach Center Publications
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regularity of solutions of a quasilinear equation related to the Levi operator
G. Citti (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type
Luca Capogna, Nicola Garofalo (2003)
Journal of the European Mathematical Society
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We prove the hypoellipticity for systems of Hörmander type with constant coefficients in Carnot groups of step 2. This result is used to implement blow-up methods and prove partial regularity for local minimizers of non-convex functionals, and for solutions of non-linear systems which appear in the study of non-isotropic metric structures with scalings. We also establish estimates of the Hausdorff dimension of the singular set.
Generalization of p-regularity notion and tangent cone description in the singular case
Wiesław Grzegorczyk, Beata Medak, Alexey A. Tret’yakov (2012)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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The theory of p-regularity has approximately twenty-five years’ history and many results have been obtained up to now. The main result of this theory is description of tangent cone to zero set in singular case. However there are numerous nonlinear objects for which the p-regularity condition fails, especially for p > 2. In this paper we generalize the p-regularity notion as a starting point for more detailed consideration based on different p-factor operators constructions. ...
Some remarks on the regularity of weak solutions of degenerate elliptic systems.
Luca Esposito, Giuseppe Mingione (1998)
Revista Matemática Complutense
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Local regularity for minimizers of non convex integrals
E. Acerbi, N. Fusco (1989)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Accurate WKB Approximation for a 1D Problem with Low Regularity
Nier, F. (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 34L40, 65L10, 65Z05, 81Q20. This article is concerned with the analysis of the WKB expansion in a classically forbidden region for a one dimensional boundary value Schrodinger equation with a non smooth potential. The assumed regularity of the potential is the one coming from a non linear problem and seems to be the critical one for which a good exponential decay estimate can be proved for the first remainder term. The treatment of...