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Elliptic equations having a singular quadratic gradient term and a changing sign datum
Local maximum principle for $L^p$-viscosity solutions of fully nonlinear elliptic PDEs with unbounded coefficients
1. | Department of Mathematics, Saitama University, 255 Shimo-Okubo, Urawa, Saitama 338-8570 |
2. | School of Mathematics, Georgia Institute of Technology, 686 Cherry Street, Atlanta, GA 30332-0160 |
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Abstr. Appl. Anal., (2008), Art. ID 178534, 19 pp. |
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doi: 10.2307/1971480. |
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2nd ed., Springer-Verlag, New York, 1983. |
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(Russian) Izv. Akad. Nauk SSSR Ser. Mat., 44 (1980), 161-175, 239. |
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Arch. Ration. Mech. Anal., 195 (2010), 579-607
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Invent. Math., 61 (1980), 67-79.
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Rev. Mat. Iberoamericana, 4 (1988), 453-468.
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Comm. Pure Appl. Math., 45 (1992), 27-76.
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Z. Anal. Anwend., 28 (2009), 129-164.
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show all references
References:
[1] |
Abstr. Appl. Anal., (2008), Art. ID 178534, 19 pp. |
[2] |
Comm. Pure Appl. Math., 48 (1995), 539-570.
doi: 10.1002/cpa.3160480504. |
[3] |
Ann. Math., 130 (1989), 189-213.
doi: 10.2307/1971480. |
[4] |
American Mathematical Society, Providence, 1995. |
[5] |
Comm. Pure Appl. Math., 49 (1996), 365-397.
doi: 10.1002/(SICI)1097-0312(199604)49:4<365::AID-CPA3>3.0.CO;2-A. |
[6] |
Bull. Amer. Math. Soc., 27 (1992), 1-67.
doi: 10.1090/S0273-0979-1992-00266-5. |
[7] |
Comm. Partial Differential Equations, 25 (2000), 1997-2053.
doi: 10.1080/03605300008821576. |
[8] |
Indiana Univ. Math. J., 42 (1993), 413-423.
doi: 10.1512/iumj.1993.42.42019. |
[9] |
Duke Math. J., 51 (1984), 997-1016.
doi: 10.1215/S0012-7094-84-05145-7. |
[10] |
Ph.D. Thesis, UCSB, 1996. Google Scholar |
[11] |
Comm. Partial Differential Equations, 23 (1998), 967-983.
doi: 10.1080/03605309808821375. |
[12] |
2nd ed., Springer-Verlag, New York, 1983. |
[13] |
J. Differential Equations, 250 (2011), 1553-1574.
doi: 10.1016/j.jde.2010.07.005. |
[14] |
Math. Ann., 339 (2007), 461-484.
doi: 10.1007/s00208-007-0125-z. |
[15] |
J. Math. Soc. Japan, 61 (2009), 723-755.
doi: 10.2969/jmsj/06130723. |
[16] |
(Russian) Dokl. Akad. Nauk SSSR, 245 (1979), 18-20. |
[17] |
(Russian) Izv. Akad. Nauk SSSR Ser. Mat., 44 (1980), 161-175, 239. |
[18] |
(Russian) in "Boundary Value Problems of Mathematical Physics and Related Questions in the Theory of Functions,'' 12, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI), 96 (1980), 272-287, 312. |
[19] |
Arch. Ration. Mech. Anal., 195 (2010), 579-607
doi: 10.1007/s00205-009-0218-9. |
[20] |
Invent. Math., 61 (1980), 67-79.
doi: 10.1007/BF01389895. |
[21] |
Rev. Mat. Iberoamericana, 4 (1988), 453-468.
doi: 10.4171/RMI/80. |
[22] |
Comm. Pure Appl. Math., 45 (1992), 27-76.
doi: 10.1002/cpa.3160450103. |
[23] |
Z. Anal. Anwend., 28 (2009), 129-164.
doi: 10.4171/ZAA/1377. |
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