[1] Abdellaoui B, Dall'Aglio A, Primo I. Some remarks on elliptic problems with critical growth on the gradient. J Differ Equ, 2006, 222(1):21-62
[2] Bensoussan A, Boccardo L, Murat F. On a nonliner PDE having natural growth terms and unbounded solutions. Ann Inst H Poincaré Anal Non Linéaire, 1988, 5:347-364
[3] Boccardo L, Gallouët T. Strongly nonlinear elliptic equations having natural growth terms and L1 data. Nonlinear Anal, 1992, 19:573-579
[4] Boccardo L, Murat F, Puel J P. Existence de solutions non borness pour certaines équations quasi-linéaires. Port Math, 1982, 41:507-534
[5] Boccardo L, Murat F, Puel J P. Existence of bounded solutions for nonlinear elliptic unilateral problems. Ann Mat Pura Appl, 1988, 52:183-196
[6] Boccardo L, Murat F, Puel J P. L1 estimates for some nonlinear elliptic partial differential equations and application to an existence result. SIAM J Math Anal, 1992, 2:326-333
[7] Boccardo L, Segura de León S, Trombetti C. Bounded and unbounded solutions for a class of quasi-linear elliptic problems with a quadratic gradient term. J Math Pures Appl, 2001, 80:919-940
[8] Ferone V, Murat F. Nonlinear problems having natural growth in the gradient:an existence result when the source terms are small. Nonlinear Anal, 2000, 42:1309-1326
[9] Ferone V, Posteraro M R, Rakotoson J M. L∞-Estimates for nonlinear elliptic problems with p-growth in the gradient. J Inequal Appl, 1999, 3:109-125
[10] Grenon N, Trombetti C. Existence results for a class of nonlinear elliptic problems with p-growth in the gradient. Nonlinear Anal, 2003, 52:931-942
[11] Maderna C, Pagani C D, Salsa S. Quasilinear elliptic equations with quadratic growth in the gradient. J Differ Equ, 1992, 97(1):54-70
[12] Porretta A. Nonlinear equations with natural growth terms and measure data. 2002-Fez Conference on Partial Differential Equations, Electron. J Diff Eqns Conf, 2002, 9:183-202
[13] Porretta A, Segura de León S. Nonlinear elliptic equations having a gradient term with natural growth. J Math Pures Appl, 2006, 85:65-492
[14] Segura de León S. Existence and uniqueness for L1 data of some elliptic equations with natural growth. Adv Diff Equ, 2003, 9:1377-1408
[15] Trombetti C. Non-uniformly elliptic equations with natural growth in the gradient. Potential Anal, 2003, 18:391-404
[16] Arcoya D, Barile S, Martínez-Aparicio P J. Singular quasilinear equations with quadratic growth in the gradient without sign condition. J Math Anal Appl, 2009, 350:401-408
[17] Arcoya D, Carmona J, Martínez-Aparicio P J. Elliptic obstacle problems with natural growth on the gradient and singular nonlinear terms. Adv Nonlinear Stud, 2007, 7:299-317
[18] Arcoya D, Martínez-Aparicio P J. Quasilinear equations with natural growth. Rev Mat Iberoamericana, 2008, 24:597-616
[19] Arcoya D, Carmona J, Leonori T, Martínez-Aparicio P J, Orsina L, Petitta F. Existence and nonexistence of solutions for singular quadratic quasilinear equations. J Differ Equ, 2009, 246:4006-4042
[20] Leoni F. Nonlinear elliptic equations in RN with absorbing zero order terms. Adv Diff Equ, 2000, 5:681-722
[21] Leray J, Lions J L. Quelques réultats de Višik sur les problèmes elliptiques non linéaires par les méhodes de Minty-Browder. Bull Soc Math France, 1965, 93:97-107
[22] Vázquez J L. A strong maximum principle for some quasilinear elliptic equations. Appl Math Optim, 1984, 12:126-150
[23] Serrin J. Local behavior of solutions of quasi-linear equations. Acta Math, 1964, 111:247-302
[24] Tolksdorf P. Regularity for a more general class of quasilinear elliptic equations. J Differ Equ, 1984, 51:126-150
[25] Bénilan P, Boccardo L, Gallouët T, Gariepy R, Pierre M. An L1-theory of existence and uniqueness of nonlinear elliptic equations. Ann Sc Norm Super Pisa Cl Sci, 1995, 22:241-273
[26] Boccardo L, Murat F. Almost everywhere convergence of the gardients of solutions to elliptic and parabolic equations. Nonlinear Anal, 1992, 19:581-597
[27] Stampacchia G. Équations Elliptiques du Second Order à Coefficients Discontinus. Montréal Les Press de I'Université de Montréal, 1966
[28] Xuan B. The eigenvalue problem for a singular quasilinear elliptic equation. Electron J Diff Eqns, 2004, 16:1-11 |