Semilinear elliptic equations with singular nonlinearities
Tóm tắt
Từ khóa
Tài liệu tham khảo
Alves C.O., Goncalves J.V., Maia L.: Singular nonlinear elliptic equations in $${\mathbb{R}^N}$$ . Abstr. Appl. Anal. 3, 411–423 (1998)
Arcoya D., Carmona J., Leonori T., Martínez-Aparicio P., Orsina L., Petitta F.: Existence and nonexistence of solutions for singular quadratic quasilinear equations. J. Differential Equations 246, 4006–4042 (2009)
Boccardo L.: Dirichlet problems with singular and gradient quadratic lower order terms. ESAIM Control Optim. Calc. Var. 14, 411–426 (2008)
Boccardo L., Gallouët T.: Nonlinear elliptic equations with right hand side measures. Comm. Partial Differential Equations 17, 641–655 (1992)
Boccardo L., Gallouët T., Orsina L.: Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data. Ann. Inst. H. Poincaré Anal. Non Linéaire 13, 539–551 (1996)
Boccardo L., Orsina L.: Sublinear equations in L s . Houston J. Math. 20, 99–114 (1994)
Canino A., Degiovanni M.: A variational approach to a class of singular semilinear elliptic equations. J. Convex Anal. 11, 147–162 (2004)
Coclite M.M., Palmieri G.: On a singular nonlinear Dirichlet problem. Comm. Partial Differential Equations 14, 1315–1327 (1989)
Crandall M.G., Rabinowitz P.H., Tartar L.: On a Dirichlet problem with a singular nonlinearity. Comm. Partial Differential Equations 2, 193–222 (1977)
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. 28, 741–808 (1999)
Hirano N., Saccon C., Shioji N.: Existence of multiple positive solutions for singular elliptic problems with concave and convex nonlinearities. Adv. Differential Equations 9, 197–220 (2004)
Lair A.V., Shaker A.W.: Entire solution of a singular semilinear elliptic problem. J. Math. Anal. Appl. 200, 498–505 (1996)
Lair A.V., Shaker A.W.: Classical and weak solutions of a singular semilinear elliptic problem. J. Math. Anal. Appl. 211, 371–385 (1997)
Lazer A.C., McKenna P.J.: On a singular nonlinear elliptic boundary-value problem. Proc. Amer. Math. Soc. 111, 721–730 (1991)
Martínez-Aparicio, P.: Singular Dirichlet problems with quadratic gradient (preprint)
Stampacchia G.: Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus. Ann. Inst. Fourier (Grenoble) 15, 189–258 (1965)
Stuart C.A.: Existence and approximation of solutions of non-linear elliptic equations. Math. Z. 147, 53–63 (1976)