caa a22 4500 606209956 CHVBK 20210128101031.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00032-015-0232-3 doi (NATIONALLICENCE)springer-10.1007/s00032-015-0232-3 A Class of Quasilinear Dirichlet Problems with Unbounded Coefficients and Singular Quadratic Lower Order Terms [Elektronische Daten] [Lucio Boccardo, Lourdes Moreno-Mérida, Luigi Orsina] We study existence and regularity of positive solutions of problems like $$\left\{\begin{array}{cl} - {\rm div}([a(x) + u^q] \nabla u) + b(x)\frac{1}{u^\theta}|\nabla u|^2 = f & {\rm in} \, \Omega,\\ u > 0 &{\rm in} \, \Omega, \\ u = 0 & {\rm on} \, \partial\Omega ,\end{array}\right.$$ - div ( [ a ( x ) + u q ] ∇ u ) + b ( x ) 1 u θ | ∇ u | 2 = f in Ω , u > 0 in Ω , u = 0 on ∂ Ω , depending on the values of q > 0, 0 < θ < 1, and on the summability of the datum f ≥ 0 in Lebesgue spaces. Springer Basel, 2015 Quasilinear elliptic equations nationallicence natural growth terms nationallicence singular equations nationallicence Boccardo Lucio Dipartimento di Matematica, "Sapienza” Università di Roma, P.le A. Moro 5, 00185, Roma, Italy aut Moreno-Mérida Lourdes Departamento de Análisis Matematico, Universidad de Granada, Av. Fuentenueva S/N, 18071, Granada, Spain aut Orsina Luigi Dipartimento di Matematica, "Sapienza” Università di Roma, P.le A. Moro 5, 00185, Roma, Italy aut Milan Journal of Mathematics Springer Basel 83/1(2015-06-01), 157-176 1424-9286 83:1<157 2015 83 32 https://doi.org/10.1007/s00032-015-0232-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00032-015-0232-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Boccardo Lucio Dipartimento di Matematica, "Sapienza” Università di Roma, P.le A. Moro 5, 00185, Roma, Italy aut NATIONALLICENCE 700 1- Moreno-Mérida Lourdes Departamento de Análisis Matematico, Universidad de Granada, Av. Fuentenueva S/N, 18071, Granada, Spain aut NATIONALLICENCE 700 1- Orsina Luigi Dipartimento di Matematica, "Sapienza” Università di Roma, P.le A. Moro 5, 00185, Roma, Italy aut NATIONALLICENCE 773 0- Milan Journal of Mathematics Springer Basel 83/1(2015-06-01), 157-176 1424-9286 83:1<157 2015 83 32