On the angle condition for the perturbation of elliptic systems

Rüdiger Landes

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2000)

  • Volume: 29, Issue: 2, page 253-268
  • ISSN: 0391-173X

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Landes, Rüdiger. "On the angle condition for the perturbation of elliptic systems." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 29.2 (2000): 253-268. <http://eudml.org/doc/84406>.

@article{Landes2000,
author = {Landes, Rüdiger},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {elliptic system; critical growth; perturbation},
language = {eng},
number = {2},
pages = {253-268},
publisher = {Scuola normale superiore},
title = {On the angle condition for the perturbation of elliptic systems},
url = {http://eudml.org/doc/84406},
volume = {29},
year = {2000},
}

TY - JOUR
AU - Landes, Rüdiger
TI - On the angle condition for the perturbation of elliptic systems
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 2000
PB - Scuola normale superiore
VL - 29
IS - 2
SP - 253
EP - 268
LA - eng
KW - elliptic system; critical growth; perturbation
UR - http://eudml.org/doc/84406
ER -

References

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  1. [F] J. Frehse, On a class of nonlinear diagonal elliptic systems with critical growth and Cα- regularity, In: "Partial Differential Equations and the Calculus of Variations", F. Colombini et al. (eds.), Birkhäuser, Boston, 1989. Zbl0685.35027
  2. [E] L.C. Evans, "Weak Convergence Methods for Nonlinerar Partial Differential Equations", AMS CBMS Regional conference series in Mathematics, Providence, Rhode Island, 1990. Zbl0698.35004MR1034481
  3. [Ga] M. Giaquinta, "Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems", Princeton University Press, Princeton, NJ, 1983. Zbl0516.49003MR717034
  4. [Gi] E. Giusti, "Metodi Diretti nel Calcolo delle Variazioni ", Unione Matematica Italiana, Bologna, 1994. Zbl0942.49002MR1707291
  5. [GT] D. Gilbarg - N.S. Trudinger, "Elliptic Partial Differential Equations of Second Order", Springer-Verlag, New York-Berlin-Heidelberg, 1977. Zbl0361.35003MR473443
  6. [H] ST. Hildebrandt, "Nonlinear elliptic systems and harmonic mappings" , Proceedings of Beijing Symp. on Diff. Geom. and Diff. Equ. Sci. Sience Press, Beijing, 1980. Zbl0515.58012MR714341
  7. [LU] O.A. Ladyshenskaya - N.N. Ural'ceva, "Linear and Quasilinear Elliptic Equations ", Academic Press (English translation from Russian), New York and London, 1968. Zbl0164.13002MR244627
  8. [L1] R. Landes, Testfunctions for elliptic systems and maximum principles, To appear in Forum Mathematicum. Zbl0942.35065MR1736096
  9. [L2] R. Landes, On the existence of weak solutions ofperturbed systems with critical growth, J. Reine Angew. Math.393 (1989), 21-38. Zbl0664.35027MR972359
  10. [L3] R. Landes, Some remarks on bounded and unbounded solutions of elliptic systems, Manuscripta Math.64 (1989), 227-234. Zbl0699.35093MR998488
  11. [LM] R. Landes - V. Mustonen, On parabolic initial-boundary value problems with critical growth for the gradient, Ann. Inst. H. Poincaré Anal. Non Linéaire11 (1994), 135-158. Zbl0836.35078MR1267364
  12. [Z] K.-W. Zhang, Remarks on perturbated systems with critical growth, Nonlinear Anal.18 (1992),1167-1179. Zbl0786.35061MR1171604

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