A priori regularity for weak solutions of some nonlinear elliptic equations

Frank Pacard

Annales de l'I.H.P. Analyse non linéaire (1994)

  • Volume: 11, Issue: 6, page 693-703
  • ISSN: 0294-1449

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Pacard, Frank. "A priori regularity for weak solutions of some nonlinear elliptic equations." Annales de l'I.H.P. Analyse non linéaire 11.6 (1994): 693-703. <http://eudml.org/doc/78349>.

@article{Pacard1994,
author = {Pacard, Frank},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {removable singularity},
language = {eng},
number = {6},
pages = {693-703},
publisher = {Gauthier-Villars},
title = {A priori regularity for weak solutions of some nonlinear elliptic equations},
url = {http://eudml.org/doc/78349},
volume = {11},
year = {1994},
}

TY - JOUR
AU - Pacard, Frank
TI - A priori regularity for weak solutions of some nonlinear elliptic equations
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1994
PB - Gauthier-Villars
VL - 11
IS - 6
SP - 693
EP - 703
LA - eng
KW - removable singularity
UR - http://eudml.org/doc/78349
ER -

References

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  1. [1] P. Aviles, On Isolated Singularities in Some Nonlinear Partial Differential Equations, Indiana Univ. Math. Journal, Vol. 35, 1983, pp. 773-791. Zbl0548.35042MR711867
  2. [2] P. Benilan, H. Brezis and M.G. Crandall, A Semilinear Equation in L1 (Rn), Ann. Scuola Norm. Sup. Pisa., Serie 4, Vol. 2, 1975, pp. 523-555. Zbl0314.35077MR390473
  3. [3] M. Giaquinta, Multiple Integrals in the Calculus of Variations and Nonlinear Analysis, Annals of Mathematical Studies, Vol. 105, Princeton Univ. Press, 1989. Zbl0516.49003
  4. [4] F. Pacard, Existence and Convergence of Positive Weak Solutions of -Δu = un/n-2 in Bounded Domains of Rn, n ≥ 3, Jour. Calc. Variat., Vol. 1, 1993, pp. 243-265. Zbl0822.35051MR1261546
  5. [5] F. Pacard, Convergence and Partial Regularity for Weak Solutions of Some Nonlinear Elliptic Equation: the Supercritical Case, Preprint. Zbl0837.35026
  6. [6] G. Stampacchia, Some Limit Case of Lp Estimates for Solution of Second Order Elliptic Equations, Comm. Pure Applied Math., Vol. XVI, 1963, pp. 505-510. Zbl0147.09202MR152735

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