Singular quasilinear elliptic systems involving gradient terms

Motreanu, 2017, Positive solutions for singular elliptic systems with convection term, J. Fixed Point Theory Appl., 19, 2165, 10.1007/s11784-017-0407-3

Alves, 2014, Existence of solutions for a class of singular elliptic systems with convection term, Asymptot. Anal., 90, 237

Alves, 2007, On the existence of positive solution for a class of singular systems involving quasilinear operators, Appl. Math. Comput., 185, 727

Alves, 2005, Existence of solutions for some classes of singular Hamiltonian systems, Adv. Nonlinear Stud., 5, 265, 10.1515/ans-2005-0206

Chu, 2018, Positive solutions for a class of non-cooperative (p,q)− laplacian systems with singularities, Appl. Math. Lett., 85, 103, 10.1016/j.aml.2018.05.024

Ghergu, 2010, Lane-Emden systems with negative exponents, J. Funct. Anal., 258, 3295, 10.1016/j.jfa.2010.02.003

Hernández, 2008, Positive solutions for singular semilinear elliptic systems, Adv. Differential Equations, 13, 857, 10.57262/ade/1355867322

Montenegro, 2010, Existence of a positive solution for a singular system, Proc. Roy. Soc. Edinburgh Sect. A, 140, 435, 10.1017/S0308210509000705

Motreanu, 2014, Existence and boundedness of solutions for a singular cooperative quasilinear elliptic system, Complex Var. Elliptic Equ., 59, 285, 10.1080/17476933.2012.744404

Motreanu, 2014, A quasilinear singular elliptic system without cooperative structure, Acta Math. Sci., 34, 905, 10.1016/S0252-9602(14)60058-8

Motreanu, 2014, An existence result for a class of quasilinear singular competitive elliptic systems, Appl. Math. Lett., 38, 33, 10.1016/j.aml.2014.06.017

Brézis, 1977, On a class of superlinear elliptic problems, Comm. Partial Differential Equations, 2, 601, 10.1080/03605307708820041

Bai, 2019, Nonlinear Dirichlet problems with the combined effects of singular and convection terms, Electron. J. Differential Equations, 2019, 1

Bai, 2018, Nonlinear nonhomogeneous Robin problems with dependence on the gradient, Bound. Value Probl., 17, 24 pp

Marano, 2019, Singular quasilinear elliptic systems in RN, Ann. Mat. Pura Appl. (4), 198, 1581, 10.1007/s10231-019-00832-1

Carl, 2017, Extremal solutions for nonvariational quasilinear elliptic systems via expanding trapping regions, Monatsh. Math. (4), 182, 801, 10.1007/s00605-015-0874-9

Khodja, 2016, Positive solutions for infinite semipositone/positone quasilinear elliptic systems with singular and superlinear terms, Differ. Equ. Appl., 8, 535

Cianchi, 2015, Global gradient estimates in elliptic problems under minimal data and domain regularity, Commun. Pure Appl. Anal., 14, 285, 10.3934/cpaa.2015.14.285

Bueno, 2013, A quasilinear problem with fast growing gradient, Appl. Math. Lett., 26, 520, 10.1016/j.aml.2012.12.009

Faraci, 2015, Positive solutions of quasi-linear elliptic equations with dependence on the gradient, Calc. Var. Partial Differential Equations, 54, 525, 10.1007/s00526-014-0793-y

Giacomoni, 2007, Sobolev versus Hölder local minimizers and existence of multiple solutions for a singular quasilinear equation, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 6, 117

Motreanu, 2007, A unified approach for multiple constant sign and nodal solutions, Adv. Differential Equations, 12, 1363, 10.57262/ade/1355867406

Marcus, 1972, Absolute continuity on tracks and mappings of Sobolev spaces, Arch. Ration. Mech. Anal., 45, 294, 10.1007/BF00251378

Lazer, 1991, On a singular nonlinear elliptic boundary-value problem, Proc. Amer. Math. Soc., 3

Hai, 2011, On a class of singular p-Laplacian boundary value problems, J. Math. Anal. Appl., 383, 619, 10.1016/j.jmaa.2011.05.060

Tolksdorf, 1983, On the Dirichlet problem for quasilinear equations in domains with conical boundary points, Comm. Partial Differential Equations, 8, 773, 10.1080/03605308308820285