A bound for the solutions of a basic elliptic system with non-linearity q ≥ 2

Sergio Campanato

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1986)

  • Volume: 80, Issue: 3, page 81-88
  • ISSN: 1120-6330

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Campanato, Sergio. "A bound for the solutions of a basic elliptic system with non-linearity $q \ge 2$." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 80.3 (1986): 81-88. <http://eudml.org/doc/287386>.

@article{Campanato1986,
author = {Campanato, Sergio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {maximum principle; basic elliptic system; nonlinearity},
language = {eng},
month = {3},
number = {3},
pages = {81-88},
publisher = {Accademia Nazionale dei Lincei},
title = {A bound for the solutions of a basic elliptic system with non-linearity $q \ge 2$},
url = {http://eudml.org/doc/287386},
volume = {80},
year = {1986},
}

TY - JOUR
AU - Campanato, Sergio
TI - A bound for the solutions of a basic elliptic system with non-linearity $q \ge 2$
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1986/3//
PB - Accademia Nazionale dei Lincei
VL - 80
IS - 3
SP - 81
EP - 88
LA - eng
KW - maximum principle; basic elliptic system; nonlinearity
UR - http://eudml.org/doc/287386
ER -

References

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  1. CAMPANATO, S. (1980) - Sistemi ellittici in forma divergenza. Regolarità all'interno. «Quaderni, S.N.S. di Pisa». Zbl0453.35026MR668196
  2. CAMPANATO, S. (1983) - Hölder continuity of the solutions of some non-linear elliptic systems. «Advances in Mathem.», 48. Zbl0519.35027MR697613DOI10.1016/0001-8708(83)90003-8
  3. CAMPANATO, S. - A maximum principle for non-linear elliptic systems. Boundary fundamental estimates. «Advances in Math.», to appear. Zbl0644.35042MR915857DOI10.1016/0001-8708(87)90037-5
  4. CAMPANATO, S. - A maximum principle for non-linear elliptic systems. Atti del Convegno celebrativo della nascita di M. Picone e L. Tonelli, «Acc. Lincei», Roma, to appear. Zbl0644.35042
  5. CAMPANATO, S. - Elliptic systems with non-linearity q greater or equal to two. Regularity of the solution of the Dirichlet problem. «Ann. Matem. Pura e Appl.», to appear. Zbl0635.35038MR916705DOI10.1007/BF01762414
  6. CAMPANATO, S. (1986) - Non-linear elliptic systems with quadratic growth. «Conferenze Sem. Matem. Univ. Bari», n. 208. Zbl0651.35029MR852446
  7. CANNARSA, P. (1981) - On a maximum principle for elliptic systems with constant coefficients, «Rend. Sem. Matem. Univ. Padova», 64. Zbl0473.35016MR636627
  8. GIAQUINTA, M. and GIUSTI, E. (1978) - Non-linear elliptic systems with quadratic growth. «Manuscripta Math.», 24. Zbl0378.35027MR481490

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