Continuity of solutions to a basic problem in the calculus of variations

Keywords

Calculus (dental), Mathematics, Computer science, Applied mathematics, Mathematical optimization

References

• Some remarks on the identity between a variational integral and its relaxed functionalRiccardo De Arcangelis — 1989
• Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal ControlPiermarco Cannarsa, Carlo Sinestrari — 2004
• Existence and Lipschitz regularity for minimaCarlo Mariconda, Giulia Treu — 2001
• Gradient Maximum Principle for MinimaCarlo Mariconda, Giulia Treu — 2002
• Measure theory and fine properties of functionsLawrence C. Evans, Ronald F. Garzepy — 1992
• Multiple Integrals in the Calculus of VariationsCharles B. Morrey — 1966
• Nonsmooth analysis and control theoryFrancis Clarke, Yu. S. Ledyaev, Ronald J. Stern — 1998
• Regularity for some scalar variational problems under general growth conditionsPaolo Marcellini — 1996
• Local Lipschitz continuity of solutions to a problem in the calculus of variationsPierre Bousquet, Francis Clarke — 2007
• ON THE BOUNDED SLOPE CONDITIONPhilip Hartman — 1966
• On Spherical Image Maps Whose Jacobians Do Not Change SignPhilip Hartman, Louis Nirenberg — 1959
• Un teorema di esistenza e unicità per il problema dell’area minima in n variabiliMario Miranda — 1965
• On the lower bounded slope condition.Pierre Bousquet — 2006
• Direct Methods in the Calculus of VariationsEnrico Giusti — 2003
• Elliptic Partial Differential Equations of Second OrderP. Bassanini, A. Elcrat — 1997
• A Survey on Old and Recent Results about the Gap Phenomenon in the Calculus of VariationsG. Buttazzo, M. Belloni — 1995
• Direct Methods in the Calculus of VariationsB. Dacoronga — 1989

Cited by

• Seminario di Analisi Matematica Dipartimento di Matematica dell'Universitµ di BolognaAngelo Cavallucci — 2007
• BV Minimizers of the area functional in the Heisenberg group under the bounded slope conditionAndrea Pinamonti, Francesco Serra Cassano, Giulia Treu — 2013
• The Bounded Slope Condition for Functionals Depending on x, u, and ∇Alice Fiaschi, Giulia Treu — 2012
• Total boundedness and bornologiesGerald Beer, Sandro Levi — 2009
• Hölder continuity in time for SG hyperbolic systemsAlessia Ascanelli, Marco Cappiello — 2008
• Boundary continuity of solutions to a basic problem in the calculus of variationsPierre Bousquet — 2009
• Local Lipschitz continuity of solutions to a problem in the calculus of variationsPierre Bousquet, Francis Clarke — 2007
• Continuity of solutions of a nonlinear elliptic equationPierre Bousquet — 2013
• Hölder regularity for a classical problem of the calculus of variationsCarlo Mariconda, Giulia Treu — 2009
• Continuité lipschitzienne des solutions d'un problème en calcul des variationsPierre Bousquet, Francis Clarke — 2006
• Log-Lipschitz regularity for SG hyperbolic systemsAlessia Ascanelli, Marco Cappiello — 2006
• Continuity properties of solutions to some degenerate elliptic equationsCarlo Mariconda, Giulia Treu — 2011
• Hölder continuity of solutions to a basic problem in the calculus of variationsPierre Bousquet, Carlo Mariconda, Giulia Treu — 2008
• Continuity of solutions of a problem in the calculus of variationsPierre Bousquet — 2011
• The lack of strict convexity and the validity of the Comparison Principle for a simple class of minimizersCarlo Mariconda — 2010
• A HAAR-RADO TYPE THEOREM FOR MINIMIZERS IN SOBOLEV SPACESCarlo Mariconda, Giulia Treu — 2011
• LOCAL LIPSCHITZ REGULARITY OF MINIMA FOR A SCALAR PROBLEM OF THE CALCULUS OF VARIATIONSCarlo Mariconda, Giulia Treu — 2008
• Lipschitz regularity for minima without strict convexity of the LagrangianCarlo Mariconda, Giulia Treu — 2007
• Local Lipschitz continuity of solutions of non-linear elliptic differential-functional equationsPierre Bousquet — 2007
• Parabolic equations and the bounded slope conditionFrank Duzaar, Paolo Marcellini, Stefano Signoriello — 2017

Related papers

• Primärzerlegung in Steinschen AlgebrenOtto Förster — 1964
• Über unirationale Scharen auf algebraischen MannigfaltigkeitenLudwig Reich — 1966
• Algebraic Set Operations, Multifunctions, and Indefinite IntegralsMilan V. Jovanović, Veselin Jungić — 1996
• Produkttreue Klassen universeller AlgebrenJürgen Timm — 1969
• Approximation of fixed points of multifunctions in partial metric spacesDaniela Paesano — 2015
• The World of Jagdish N. SrivastavaSubir Ghosh, Sudhir Gupta, Rahul Mukerjee — 2013
• Hardy spaces of analytic multifunctions.Jonas Avelin — 1997
• Surjectivity of multifunctions under generalized differentiability assumptionsSerge Gautier, G. Isac, Jean‐Paul Penot — 1983
• Kennzeichnung derp-adischen und der endlichen algebraischen ZahlkörperJ�rgen Neukirch — 1969