Linear Potentials in Nonlinear Potential Theory

Boccardo L., Gallouët T.: Nonlinear elliptic and parabolic equations involving measure data. J. Funct. Anal. 87, 149–169 (1989)

Boccardo L., Gallouët T.: Nonlinear elliptic equations with right-hand side measures. Commun. PDE 17, 641–655 (1992)

Cianchi A.: Maximizing the L ∞ norm of the gradient of solutions to the Poisson equation. J. Geom. Anal. 2, 499–515 (1992)

Cianchi A., Maz’ya V.: Global Lipschitz regularity for a class of quasilinear elliptic equations. Commun. PDE 36, 100–133 (2011)

DiBenedetto E.: C 1+α local regularity of weak solutions of degenerate elliptic equations. Nonlinear Anal. TMA 7, 827–850 (1983)

DiBenedetto E., Manfredi J.J.: On the higher integrability of the gradient of weak solutions of certain degenerate elliptic systems. Am. J. Math. 115, 1107–1134 (1993)

Dal Maso G., Murat F., Orsina L., Prignet A.: Renormalized solutions of elliptic equations with general measure data. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (IV) 28, 741–808 (1999)

Daskalopoulos P., Kuusi T., Mingione G.: Borderline estimates for fully nonlinear elliptic equations. arXiv:1205.4799 (2012)

Duzaar F., Mingione G.: Gradient estimates via non-linear potentials. Am. J. Math. 133, 1093–1149 (2011)

Duzaar F., Mingione G.: Gradient estimates via linear and nonlinear potentials. J. Funct. Anal. 259, 2961–2998 (2010)

Duzaar F., Mingione G.: Gradient continuity estimates. Calc. Var. & PDE 39, 379–418 (2010)

Duzaar F., Mingione G.: Local Lipschitz regularity for degenerate elliptic systems. Ann. Inst. H. Poincaré Anal. Non Linèaire 27, 1361–1396 (2010)

Grafakos, L.: Classical and Modern Fourier Analysis. Pearson Education Inc., Upper Saddle River, 2004

Hedberg L., Wolff Th.H.: Thin sets in nonlinear potential theory. Ann. Inst. Fourier (Grenoble) 33, 161–187 (1983)

Heinonen J., Kilpeläinen T., Martio O.: Nonlinear Potential Theory of Degenerate Elliptic Equations. Oxford Mathematical Monographs, New York (1993)

Iwaniec T.: Projections onto gradient fields and L p -estimates for degenerated elliptic operators. Studia Math. 75, 293–312 (1983)

Jaye B., Verbitsky I.: Local and global behaviour of solutions to nonlinear equations with natural growth terms. Arch. Rational Mech. Anal. 204, 627–681 (2012)

Kilpeläinen T., Malý J.: Degenerate elliptic equations with measure data and nonlinear potentials. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (IV) 19, 591–613 (1992)

Kilpeläinen T., Malý J.: The Wiener test and potential estimates for quasilinear elliptic equations. Acta Math. 172, 137–161 (1994)

Korte R., Kuusi T.: A note on the Wolff potential estimate for solutions to elliptic equations involving measures. Adv. Calc. Var. 3, 99–113 (2010)

Kuusi T., Mingione G.: Universal potential estimates. J. Funct. Anal. 262, 4205–4269 (2012)

Kuusi T., Mingione G.: A surprising linear type estimate for nonlinear elliptic equations. C. R. Acad. Sci. Paris (Ser. I), Math. 349, 889–892 (2011)

Lieberman G.M.: Sharp forms of estimates for subsolutions and supersolutions of quasilinear elliptic equations involving measures. Commun. PDE 18, 1191–1212 (1993)

Lindqvist P.: On the definition and properties of p-superharmonic functions. J. Reine Angew. Math. (Crelles J.) 365, 67–79 (1986)

Lindqvist, P.: Notes on the p-Laplace Equation. Univ. Jyväskylä, Report 102, 2006

Lindqvist P., Manfredi J.J.: Note on a remarkable superposition for a nonlinear equation. Proc. AMS 136, 133–140 (2008)

Manfredi J.J.: Regularity for minima of functionals with p-growth. J. Differ. Equ. 76, 203–212 (1988)

Manfredi, J.J.: Regularity of the gradient for a class of nonlinear possibly degenerate elliptic equations. PhD Thesis. University of Washington, St. Louis

Mikkonen P.: On the Wolff potential and quasilinear elliptic equations involving measures. Ann. Acad. Sci. Fenn. Math. Diss. 104, 1–71 (1996)

Mingione G.: The Calderón-Zygmund theory for elliptic problems with measure data. Ann Scu. Norm. Sup. Pisa Cl. Sci. (V) 6, 195–261 (2007)

Mingione G.: Gradient estimates below the duality exponent. Math. Ann. 346, 571–627 (2010)

Mingione G.: Gradient potential estimates. J. Eur. Math. Soc. 13, 459–486 (2011)

Mingione G.: Nonlinear aspects of Calderón-Zygmund theory. Jahres. Deut. Math. Verein. 112, 159–191 (2010)

Phuc N.C., Verbitsky I.E.: Quasilinear and Hessian equations of Lane-Emden type. Ann. Math. (II) 168, 859–914 (2008)

Phuc N.C., Verbitsky I.E.: Singular quasilinear and Hessian equations and inequalities. J. Funct. Anal. 256, 1875–1906 (2009)

Trudinger N.S., Wang X.J.: Hessian measures. I. Dedicated to Olga Ladyzhenskaya. Topol. Methods Nonlinear Anal. 10, 225–239 (1997)

Trudinger N.S., Wang X.J.: Hessian measures. II. Ann. Math. 150(2), 579–604 (1999)

Trudinger N.S., Wang X.J.: On the weak continuity of elliptic operators and applications to potential theory. Am. J. Math. 124, 369–410 (2002)

Trudinger N.S., Wang X.J.: Quasilinear elliptic equations with signed measure data. Disc. Cont. Dyn. Syst. A 23, 477–494 (2009)