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On the Dirichlet problem generated by the Maz'ya-Sobolev inequality. / Nazarov, A.I.
в: Calculus of Variations and Partial Differential Equations, Том 49, № 1-2, 2014, стр. 369-389.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - On the Dirichlet problem generated by the Maz'ya-Sobolev inequality
AU - Nazarov, A.I.
PY - 2014
Y1 - 2014
N2 - We discuss the attainability of sharp constants for the Maz'ya-Sobolev inequalities in wedges, "perturbed" wedges and bounded domains. This gives also the solvability of boundary value problems to semilinear equations with critical growth and "fat" singularity at the boundary. © 2012 Springer-Verlag Berlin Heidelberg.
AB - We discuss the attainability of sharp constants for the Maz'ya-Sobolev inequalities in wedges, "perturbed" wedges and bounded domains. This gives also the solvability of boundary value problems to semilinear equations with critical growth and "fat" singularity at the boundary. © 2012 Springer-Verlag Berlin Heidelberg.
U2 - 10.1007/s00526-012-0586-0
DO - 10.1007/s00526-012-0586-0
M3 - Article
VL - 49
SP - 369
EP - 389
JO - Calculus of Variations and Partial Differential Equations
JF - Calculus of Variations and Partial Differential Equations
SN - 0944-2669
IS - 1-2
ER -
ID: 5471644