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• Ray Yang (2013). "On higher order extensions for the fractional Laplacian". arXiv: 1302.4413 [ math.AP].
• Cardaliaguet, P.; Silvestre, L. (2012). "Hölder Continuity to Hamilton-Jacobi Equations with Superquadratic Growth in the Gradient and Unbounded Right-hand Side". Communications in Partial Differential Equations. 37 (9): 1668. doi: 10.1080/03605302.2012.660267.

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• Maximum principle

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• Riesz rearrangement inequality

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• Perron method

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References

PDEs

• Courant, Richard; Hilbert, David (1989), Methods of Mathematical Physics, vol. 1 (1st English ed.), New York: Wiley-Interscience, ISBN  978-0-471-50447-4
• Courant, Richard; Hilbert, David (1989), Methods of Mathematical Physics, vol. 2 (1st English ed.), New York: Wiley-Interscience, ISBN  0-471-50439-4
• Schauder, Juliusz (1937), "Numerische Abschätzungen in elliptischen linearen Differentialgleichungen" (PDF), Studia Mathematica (in German), vol. 5, Lwów, Poland: Polska Akademia Nauk. Instytut Matematyczny, pp. 34–42
• Schauder, Juliusz (1934), "Über lineare elliptische Differentialgleichungen zweiter Ordnung", Mathematische Zeitschrift (in German), vol. 38, no. 1, Berlin, Germany: Springer-Verlag, pp. 257–282, doi: 10.1007/BF01170635 MR 1545448
• Schauder, Juliusz (1936–1937), "Cauchysches Problem für partielle Differentialgleichungen erster Ordnug. Anwendung einiger sich auf die Absolutebeträge der Lösungen beziehenden Abschätzungen.", Commentarii Mathematici Helvetici, 3 (in German), vol. 9, Basel, Switzerland: Birkhäuser, pp. 263–283, doi: 10.1007/BF01258193 MR 1509559
• Schauder, Juliusz (1935), "Das Anfangswertproblem einer quasilinearen hyperbolischen Differentialgleichung zweiter Ordnung in beliebiger Anzahl von unabhängigen Veränderlichen" (PDF), Polska Akademia Nauk. Fundamenta Mathematicae, vol. 24, Warsaw, Poland: PWN ul. Miodowa 10, pp. 213–246
• Littman, W.; Stampacchia, G.; Weinberger, H. (1963), "Regular points for elliptic equations with discontinuous coefficients", Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 3, vol. 17, no. 1–2, Pisa, Italy: Scuola Normale Superiore di Pisa, pp. 43–77 MR 161019
• Caffarelli, Luis (July 1998), "The obstacle problem revisited", The Journal of Fourier Analysis and Applications, vol. 4, no. 4–5, pp. 383–402, doi: 10.1007/BF02498216
• Evans, Lawrence, An Introduction to Stochastic Differential Equations, Version 1.2 (PDF), pp. 110–114
• Frehse, Jens (1972), "On the regularity of the solution of a second order variational inequality", Bolletino della Unione Matematica Italiana, vol. 4, no. 6, pp. 312–215
• Friedman, Avner (1982), Variational principles and free boundary problems, New York: Wiley, ISBN  0471868493
• Kinderlehrer, David; Stampacchia, Guido (1980), An Introduction to Variational Inequalities and Their Applications, New York: Academic Press, ISBN  0-89871-466-4
• Caffarelli, Luis A. (1995), Fully Nonlinear Elliptic Equations, Providence, Rhode Island: American Mathematical Society, pp. 31–41, ISBN  0-8218-0437-5 {{ citation}}: Unknown parameter |coauthors= ignored (|author= suggested) ( help)

• Evans, Lawrence C. (1998), Partial Differential Equations, Providence, Rhode Island: American Mathematical Society, ISBN  0-8218-0772-2

• Gilbarg, D.; Trudinger, Neil (1983), Elliptic Partial Differential Equations of Second Order, New York: Springer, ISBN  3-540-41160-7.

• Han, Qing; Lin, Fanghua (1997), Elliptic Partial Differential Equations, New York: Courant Institute of Mathematical Sciences, ISBN  0965870308, OCLC  38168365 MR 1669352