TY - JOUR
T1 - Location of solutions for quasi-linear elliptic equations with general gradient dependence
AU - Tornatore, Elisabetta
AU - Motreanu, Dumitru
PY - 2017
Y1 - 2017
N2 - Existence and location of solutions to a Dirichlet problem driven by (p, q)-Laplacian and containing a (convection) term fully depending on the solution and its gradient are established through the method of subsolution-supersolution. Here we substantially improve the growth condition used in preceding works. The abstract theorem is applied to get a new result for existence of positive solutions with a priori estimates.
AB - Existence and location of solutions to a Dirichlet problem driven by (p, q)-Laplacian and containing a (convection) term fully depending on the solution and its gradient are established through the method of subsolution-supersolution. Here we substantially improve the growth condition used in preceding works. The abstract theorem is applied to get a new result for existence of positive solutions with a priori estimates.
KW - (p
KW - q)-laplacian; Gradient dependence; positive solution; Quasi-linear elliptic equations; subsolution-supersolution; Applied Mathematics
KW - (p
KW - q)-laplacian; Gradient dependence; positive solution; Quasi-linear elliptic equations; subsolution-supersolution; Applied Mathematics
UR - http://hdl.handle.net/10447/253867
UR - http://www.math.u-szeged.hu/ejqtde/p6287.pdf
M3 - Article
VL - 2017
SP - 1
EP - 10
JO - Electronic Journal of Qualitative Theory of Differential Equations
JF - Electronic Journal of Qualitative Theory of Differential Equations
SN - 1417-3875
ER -