References
- Alves CO, Corrêa FJ. On the existence of positive solution for a class of singular systems involving quasilinear operators. Appl Math Comput. 2007;185(1):727–736.
- Di Castro A. Anisotropic elliptic problems with natural growth terms. Manuscripta Math. 2011;135(3–4):521–543. doi: 10.1007/s00229-011-0431-3
- Di Castro A. Elliptic problems for some anisotropic operators [Ph.D. thesis]. Rome: University of Rome “Sapienza”; 2008/2009.
- Di Castro A. Existence and regularity results for anisotropic elliptic problems. Adv Nonlinear Stud. 2009;9(2):367–393. doi: 10.1515/ans-2009-0207
- Fragalà I, Gazzola F, Kawohl B. Existence and nonexistence results for anisotropic quasilinear elliptic equations. Ann Inst H Poincare (C) Nonlinear Anal. 2004;21(5):715–734. doi: 10.1016/j.anihpc.2003.12.001
- Bahrouni A, Radulescu VD, Repovš DD. A weighted anisotropic variant of the Caffarelli-Kohn-Nirenberg inequality and applications. Nonlinearity. 2018;31(4):1516–1534. doi: 10.1088/1361-6544/aaa5dd
- Canino A, Montoro L, Sciunzi B. The moving plane method for singular semilinear elliptic problems. Nonlinear Anal. 2017;156:61–69. doi: 10.1016/j.na.2017.02.009
- Chhetri M, Drábek P, Shivaji R. Analysis of positive solutions for classes of quasilinear singular problems on exterior domains. Adv Nonlinear Anal. 2017;6(4):447–459.
- Dupaigne L, Ghergu M, Radulescu VD. Lane-Emden-Fowler equations with convection and singular potential. J Math Pures Appl. 2007;87(6):563–581. doi: 10.1016/j.matpur.2007.03.002
- Leggat AR, Miri SE-H. Anisotropic problem with singular nonlinearity. Complex Var Elliptic Equ. 2016;61(4):496–509. doi: 10.1080/17476933.2015.1102900
- Miri SE-H. Problèmes elliptiques et paraboliques avec termes singuliers [Ph.D. thesis]. Université Abou Bekr Belkaid, Tlemcen; 2012.
- Miri SE-H. Quasilinear elliptic problems with general growth and nonlinear term having singular behavior. Adv Nonlinear Stud. 2012;12:19–48.
- Radulescu V, Repovš D. Combined effects in nonlinear problems arising in the study of anisotropic continuous media. Nonlinear Anal. 2012;75(3):1524–1530. doi: 10.1016/j.na.2011.01.037
- Kruzhkov SN, Kolodii IM. On the theory of embedding of anisotropic Sobolev spaces. Russ Math Surv. 1983;38:188–189. doi: 10.1070/RM1983v038n02ABEH003476
- Nikol'skii SM. An imbedding theorem for functions with partial derivatives considered in different metrics. Izv Akad Nauk SSSR. 1958;22(3):321–336.
- Troisi M. Teoremi di inclusione per spazi di Sobolev non isotropi. Ricerche Mat. 1969;18:3–24.
- Rabinowitz PH. Some global results for nonlinear eigenvalue problems. J Funct Anal. 1971;7(3):487–513. doi: 10.1016/0022-1236(71)90030-9
- Ghergu M, Radulescu V. Singular elliptic problems: bifurcation and asymptotic analysis. Oxford: The Clarendon Press, Oxford University Press; 2008. (Oxford Lecture Series in Mathematics and its Applications, 37).
- Radulescu V, Repovš D. Partial differential equations with variable exponents: variational methods and qualitative analysis. Boca Raton, FL: CRC Press, Taylor & Francis Group; 2015.
- Renardy M, Rogers RC. An introduction to partial differential equations. 2nd ed. New York (NY): Springer-Verlag; 2004. (Texts in Applied Mathematics, 13). ISBN 0-387-00444-0.
- Stampacchia G. Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus. Ann Inst Fourier (Grenoble). 1965;15:189–258. doi: 10.5802/aif.204