Journal
RESULTS IN MATHEMATICS
Volume 78, Issue 3, Pages -Publisher
SPRINGER BASEL AG
DOI: 10.1007/s00025-023-01860-3
Keywords
Strong and weak singularities; unbounded coefficient; superlinear perturbation; anisotropic regularity theory; variable exponent spaces; Hardy's inequality
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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.
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.
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