Singular Anisotropic Double Phase Problems

Salvatore Leonardi,Nikolaos S. Papageorgiou

RESULTS IN MATHEMATICS（2023）

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摘要

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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关键词

Strong and weak singularities,unbounded coefficient,superlinear perturbation,anisotropic regularity theory,variable exponent spaces,Hardy's inequality

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