A weak maximum principle and estimates of ess sup Ω u for nonlinear degenerate elliptic equations

Salvatore Bonafede

Czechoslovak Mathematical Journal (1996)

  • Volume: 46, Issue: 2, page 259-269
  • ISSN: 0011-4642

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Bonafede, Salvatore. "A weak maximum principle and estimates of ${\rm ess}\sup _\Omega u$ for nonlinear degenerate elliptic equations." Czechoslovak Mathematical Journal 46.2 (1996): 259-269. <http://eudml.org/doc/30306>.

@article{Bonafede1996,
author = {Bonafede, Salvatore},
journal = {Czechoslovak Mathematical Journal},
keywords = {maximum principle; degenerate elliptic equation; weighted Sobolev space; subsolution},
language = {eng},
number = {2},
pages = {259-269},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A weak maximum principle and estimates of $\{\rm ess\}\sup _\Omega u$ for nonlinear degenerate elliptic equations},
url = {http://eudml.org/doc/30306},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Bonafede, Salvatore
TI - A weak maximum principle and estimates of ${\rm ess}\sup _\Omega u$ for nonlinear degenerate elliptic equations
JO - Czechoslovak Mathematical Journal
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 46
IS - 2
SP - 259
EP - 269
LA - eng
KW - maximum principle; degenerate elliptic equation; weighted Sobolev space; subsolution
UR - http://eudml.org/doc/30306
ER -

References

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  3. 10.1112/jlms/s2-6.2.205, J. London Math. Soc. 2 (1973), no. 6, 205–209. (1973) Zbl0257.35041MR0318671DOI10.1112/jlms/s2-6.2.205
  4. On a unified theory of boundary value problems for elliptic-parabolic equations of second order, In: Boundary value problems in differential equations, University of Wisconsin Press. Madison (1960), 97–120. (1960) MR0111931
  5. Elliptic Partial Differential Equations of Second Order, Springer Verlag, 1983. (1983) MR0737190
  6. Sulle W -soluzioni dei problemi al contorno per operatori ellittici degeneri, Ricerche di Matematica Supp XXXVI (1987), 59–72. (1987) MR0956018
  7. Linear and Quasilinear Elliptic Equations, Academic Press, New York, 1968. (1968) MR0244627
  8. 10.1007/BF02413623, Annali di Matematica 4 (1968), no. 80, 1–122. (1968) MR0249828DOI10.1007/BF02413623
  9. Sottosoluzioni deboli delle equazioni paraboliche lineari del secondo ordine superiormente limitate, Le Matematiche 28 (1973), 361–378. (1973) MR0364867
  10. Regolarizzazione delle soluzioni deboli dei problemi al contorno per operatori parabolici degeneri, Le Matematiche 33 (1978), 83–98. (1978) Zbl0454.35023
  11. 10.1007/BF01789410, Annali di Matematica 4 (1980), no. 125, 135–155. (1980) Zbl0452.35065MR1553443DOI10.1007/BF01789410
  12. 10.5802/aif.204, Annali Inst. Fourier 15 (1965), 189–257. (1965) Zbl0151.15401MR0192177DOI10.5802/aif.204
  13. 10.1007/BF02391014, Acta Mathematica 111 (1964), 247–302. (1964) MR0170096DOI10.1007/BF02391014

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