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math.AP2024
On some Sobolev and Pólya-Szegö type inequalities with weights and applications
Trung Hieu Giang, Nguyen Minh Tri, Dang Anh Tuan
We are motivated by studying a boundary-value problem for a class of semilinear degenerate elliptic equations \begin{align}\tag{P}\label{P} \begin{cases} - Δ_x u - |x|^{2α} \dfrac{…
math.AP2024
Existence and uniqueness results for a nonlinear Budiansky-Sanders shell model
Trung Hieu Giang
A nonlinear shell model is studied in this paper. This is a nonlinear variant of the Budiansky-Sanders linear shell model. Under some suitable assumptions on the magnitude of the a…