Singular Anisotropic Double Phase Problems

We consider three kinds of anisotropic double phase problems with Dirichlet boundary condition. In two of them we have strong singularity and an unbounded coefficient. Using variational method together with truncation, comparison and approximation techniques, we prove existence and multiplicity theorems for our problem.

Automated summary

This study examines three types of anisotropic double phase problems with Dirichlet boundary condition. Two of these problems exhibit strong singularity and an unbounded coefficient. Utilizing variational method, truncation, comparison, and approximation techniques, we demonstrate the existence and multiplicity theorems for our problem.