Harnack inequalities for quasi-minima of variational integrals

 Access to full text

 Full (PDF)

1. [1] E. De Giorgi, Sulla differenziabilità e l'analiticità degli integrali multipli regolari, Mem. Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. (3), t. 3, 1957, p. 25-43. Zbl0084.31901MR93649
2. [2] M. Giaquinta and E. Giusti, Quasi-Minima, Ann. d'Inst. Henri Poincaré, Analyse Non Linéaire, t. 1, 1984, p. 79 à 107. Zbl0541.49008MR778969
3. [3] M. Giaquinta and E. Giusti, On the regularity of the minima of variational integrals, Acta Math., t. 148, 1982, p. 31-46. Zbl0494.49031MR666107
4. [4] D. Gilbarg and N.S. Trudinger, Elliptic Partial Differential Equations of Second Order. 2nd Ed. Springer-Verlag, New York, 1983. Zbl0562.35001MR737190
5. [5] O.A. Ladyzenskaya and N.N. Uralt'zeva, Linear and Quasilinear Elliptic Equations, Academic Press, New York, 1968. Zbl0164.13002MR244627
6. [6] N.V. Krylov, M.V. Safonov, Certain properties of Solutions of parabolic equations with measurable coefficients. Izvestia Akad. Nauk SSSR, t. 40, 1980, p. 161-175, English transl. Math. USSR Izv., t. 16, 1981. Zbl0464.35035MR563790
7. [7] C.B. Morrey, Multiple integrals in the Calculus of Variations. Springer-Verlag, New York, 1966. Zbl0142.38701MR202511
8. [8] J. Moser, A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations. Comm. Pure Appl. Math., t. 13, 1960, p. 457- 468. Zbl0111.09301MR170091
9. [9] J. Moser, On Harnack's theorem for elliptic differential equations. Comm. Pure Appl. Math., t. 14, 1961, p. 577-591. Zbl0111.09302MR159138
10. [10] J. Serrin, Local behavior of solutions of quasi-linear elliptic equations. Acta Math., t. 111, 1964, p. 247-302. Zbl0128.09101MR170096
11. [11] N.S. Trudinger, On Harnack type inequalities and their application to quasi-linear elliptic equations. Comm. Pure Appl. Math., t. 20, 1967, p. 721-747. Zbl0153.42703MR226198
12. [12] N.S. Trudinger, Local estimates for subsolutions and supersolutions of general second order elliptic quasilinear equations. Inventiones Math., t. 61, 1980, p. 67-69. Zbl0453.35028MR587334

1. Tuomo Kuusi, Harnack estimates for weak supersolutions to nonlinear degenerate parabolic equations
2. G. Barles, Remarks on uniqueness results of the first eigenvalue of the p-Laplacian
3. Jürgen Moser, Minimal solutions of variational problems on a torus
4. B. Franchi, R. Serapioni, Pointwise estimates for a class of strongly degenerate elliptic operators : a geometrical approach
5. Silvana Marchi, A Wiener type criterion for weighted quasiminima
6. J. Kinnunen, M. Kotilainen, V. Latvala, Hardy-Littlewood Type Gradient Estimates for Quasiminimizers
7. Vittorio Scornazzani, Pointwise estimates for minimizers of some non-uniformly degenerate functionals
8. Alberto Fiorenza, Miroslav Krbec, Indices of Orlicz spaces and some applications
9. Gary Lieberman, On the natural generalization of the natural conditions of Ladyzhenskaya and Ural'tseva
10. Mariano Giaquinta, Giuseppe Modica, Partial regularity of minimizers of quasiconvex integrals