Generalized Maximum Principle for Divergence Form Elliptic Equations in Unbounded Domains

Maurizio Chicco

Bollettino dell'Unione Matematica Italiana (2009)

  • Volume: 2, Issue: 3, page 711-718
  • ISSN: 0392-4041

How to cite

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Chicco, Maurizio. "Generalized Maximum Principle for Divergence Form Elliptic Equations in Unbounded Domains." Bollettino dell'Unione Matematica Italiana 2.3 (2009): 711-718. <http://eudml.org/doc/290573>.

@article{Chicco2009,
author = {Chicco, Maurizio},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {711-718},
publisher = {Unione Matematica Italiana},
title = {Generalized Maximum Principle for Divergence Form Elliptic Equations in Unbounded Domains},
url = {http://eudml.org/doc/290573},
volume = {2},
year = {2009},
}

TY - JOUR
AU - Chicco, Maurizio
TI - Generalized Maximum Principle for Divergence Form Elliptic Equations in Unbounded Domains
JO - Bollettino dell'Unione Matematica Italiana
DA - 2009/10//
PB - Unione Matematica Italiana
VL - 2
IS - 3
SP - 711
EP - 718
LA - eng
UR - http://eudml.org/doc/290573
ER -

References

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  1. CHICCO, M., Principio di massimo generalizzato e valutazione del primo autovalore per problemi ellittici del secondo ordine di tipo variazionale, Ann. Mat. Pura Appl. (4), 87 (1970), 1-10. Zbl0207.10603MR280858DOI10.1007/BF02411967
  2. CHICCO, M., Some properties of the first eigenvalue and the first eigenfunction of linear second order elliptic partial differential equations in divergence form, Boll. Un. Mat. Ital. (4), 5 (1972), 245-254. Zbl0245.35064MR310462
  3. CHICCO, M. - VENTURINO, M., A priori inequalities in L ∞ ⁢ ( Ω ) for solutions of elliptic equations in unbounded domains, Rend Sem. Mat. Univ. Padova, 102 (1999), 141- 151. Zbl0949.35044MR1739537
  4. CHICCO, M. - VENTURINO, M., Dirichlet problem for a divergence form elliptic equations with unbounded coefficients in an unbounded domain, Ann. Mat. Pura Appl., 178 (2000), 325-338. Zbl1031.35044MR1849393DOI10.1007/BF02505902
  5. GAGLIARDO, E., Proprietà di alcune classi di funzioni in più variabili, Ricerche Mat.7 (1958), 102-137. MR102740
  6. PROTTER, M. H. - WEINBERGER, H. F., Maximum principles in differential equations, Prentice Hall, Englewood Cliffs (1968). Zbl0549.35002MR219861
  7. PROTTER, M. H. - WEINBERGER, H. F., On the spectrum of general second order operators, Bull. Am. Math. Soc., 72 (1966), 251-255. Zbl0141.09901MR190527DOI10.1090/S0002-9904-1966-11485-4
  8. STAMPACCHIA, G., Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier, Grenoble, 15 (1965), 189-258. Zbl0151.15401MR192177

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