Solutions with sign information for nonlinear nonhomogeneous problems
Nikolaos S. Papageorgiou, Patrick Winkert · Mathematische Nachrichten · 2018
Abstract We consider a parametric elliptic equation driven by a nonlinear nonhomogeneous differential operator and with a Robin boundary condition. In the first part we prove the existence of positive solutions and state a bifurcation‐type result describing how the set of positive solutions changes as the parameter varies. In the second part we show that problem admits nodal (sign‐changing) solutions provided the parameter is sufficiently large.