On the interior regularity of weak solutions of degenerate elliptic systems (the case 1 < p < 2 )

J. Naumann; J. Wolf

Rendiconti del Seminario Matematico della Università di Padova (1992)

  • Volume: 88, page 55-81
  • ISSN: 0041-8994

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Naumann, J., and Wolf, J.. "On the interior regularity of weak solutions of degenerate elliptic systems (the case $1$ &lt; $p$ &lt; $2$)." Rendiconti del Seminario Matematico della Università di Padova 88 (1992): 55-81. <http://eudml.org/doc/108277>.

@article{Naumann1992,
author = {Naumann, J., Wolf, J.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {interior regularity; degenerate elliptic systems},
language = {eng},
pages = {55-81},
publisher = {Seminario Matematico of the University of Padua},
title = {On the interior regularity of weak solutions of degenerate elliptic systems (the case $1$ &lt; $p$ &lt; $2$)},
url = {http://eudml.org/doc/108277},
volume = {88},
year = {1992},
}

TY - JOUR
AU - Naumann, J.
AU - Wolf, J.
TI - On the interior regularity of weak solutions of degenerate elliptic systems (the case $1$ &lt; $p$ &lt; $2$)
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1992
PB - Seminario Matematico of the University of Padua
VL - 88
SP - 55
EP - 81
LA - eng
KW - interior regularity; degenerate elliptic systems
UR - http://eudml.org/doc/108277
ER -

References

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  1. [1] E. Acerbi - N. Fusco, Regularity for minimizers of non-quadratic functionals: the case 1 &lt; p &lt; 2, J. Math. Anal. Appl., 140 (1989), pp. 115-135. Zbl0686.49004MR997847
  2. [2] G. Anzellotti - M. Giaquinta, Convex functionals and partial regularity, Arch. Rat. Mech. Anal., 102 (1988), pp. 234-272. Zbl0658.49005MR944548
  3. [3] S. Campanato, Differentiability of the solutions of nonlinear elliptic systems with natural growth, Ann. Mat. Pura Appl., 131 (1982), pp. 75-106. Zbl0493.35022MR681558
  4. [4] S. Campanato, Hölder continuity of the solutions of some non-linear elliptic systems, Advances Math., 48 (1983), pp. 16-43. Zbl0519.35027MR697613
  5. [5] E. DiBENEDETTO - A. FRIEDMANN, Regularity of solutions of nonlinear degenerate parabolic systems, J. Reine Angew. Math., 349 (1984), pp. 83-128. Zbl0527.35038MR743967
  6. [6] E. Di Benedetto - J.J. Manfredi, Remarks on the regularity of solutions of certain degenerate elliptic systems, Preprint no. 142, SFB 256 Univ. Bonn (1990). 
  7. [7] M. Giaquinta, Multiple integrals in the calculus of variations and nonlinear elliptic systems, Princeton Univ. Press, Princeton, New Jersey (1983). Zbl0516.49003MR717034
  8. [8] C. Hamburger, Regularity of differential forms minimizing degenerate elliptic functionals, to appear. Zbl0776.35006MR1014470
  9. [9] C. Hamburger, Quasimonotonicity, duality and regularity for α-harmonic differential forms, to appear. 
  10. [10] J. Naumann, Interior integral estimates on weak solutions of certain degenerate elliptic systems, Ann. Mat. Pura Appl., 156 (1990), pp. 113-125. Zbl0732.35032MR1080212
  11. [11] L. Pepe, Risultati di regolarità parziale per le soluzioni H1, p (1 &lt; p &lt; 2) di sistemi ellittici quasi lineari, Ann. Univ. Ferrara. Sez. VII (Sci. Mat.), 16 (1971), pp. 129-148. Zbl0231.35028MR306703
  12. [12] P. Tolksdorf, Everywhere-regularity for some quasilinear systems with a lack of ellipticity, Ann. Mat. Pura Appl., 134 (1983), pp. 241-266. Zbl0538.35034MR736742

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