TY - UNPB
T1 - Estimates of Dirichlet eigenvalues of divergent elliptic operators in non-Lipschitz domains
AU - Gol'dshtein, Vladimir
AU - Pchelintsev, Valerii
AU - Ukhlov, Alexander
N1 - 13 pages
PY - 2020/9/15
Y1 - 2020/9/15
N2 - We study spectral estimates of the divergence form uniform elliptic operators −div[A(z)∇f(z)] with the Dirichlet boundary condition in bounded non-Lipschitz simply connected domains Ω ⊂ C. The suggested method is based on the quasiconformal composition operators on Sobolev spaces with applications to the weighted Poincaré-Sobolev inequalities.
AB - We study spectral estimates of the divergence form uniform elliptic operators −div[A(z)∇f(z)] with the Dirichlet boundary condition in bounded non-Lipschitz simply connected domains Ω ⊂ C. The suggested method is based on the quasiconformal composition operators on Sobolev spaces with applications to the weighted Poincaré-Sobolev inequalities.
KW - math.AP
KW - 35P15
KW - 46E35
KW - 30C65
U2 - 10.48550/arXiv.2009.06936
DO - 10.48550/arXiv.2009.06936
M3 - Preprint
BT - Estimates of Dirichlet eigenvalues of divergent elliptic operators in non-Lipschitz domains
ER -