Nonnegative solution of a class of double phase problems with logarithmic nonlinearity
Nonnegative solution of a class of double phase problems with logarithmic nonlinearity
Abstract This manuscript proves the existence of a nonnegative, nontrivial solution to a class of double-phase problems involving potential functions and logarithmic nonlinearity in the setting of Sobolev space on complete manifolds. Some applications are also being investigated. The arguments are based on the Nehari manifold and some variational techniques.