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Construction of solutions for the critical polyharmonic equation with competing potentials arxiv.org/abs/2408.00007

Linear response and resonances in adiabatic time-dependent density functional theory arxiv.org/abs/2408.00009

Factorizations and Power Weighted Rellich and Hardy--Rellich-Type Inequalities arxiv.org/abs/2408.00013

Stationary solution to Stochastically Forced Euler-Poisson Equations in Bounded Domain: Part 1. 3-D Insulating Boundary arxiv.org/abs/2408.00017

Constructing Multiresolution Analysis via Wavelet Packets on Sobolev Space in Local Fields arxiv.org/abs/2408.00028

Sharp kernel bounds for parabolic operators with first order degeneracy arxiv.org/abs/2408.00031

Infinite dimensional metapopulation SIS model with generalized incidence rate arxiv.org/abs/2408.00034

Corrigendum to "On Smooth extensions of vector-valued functions defined on closed subsets of Banach spaces" [Math. Ann. (2013) 355: 1201--1219] arxiv.org/abs/2407.21036

On an upper bound for central binomial coefficients and Catalan numbers arxiv.org/abs/2407.21064

Topological Obstructions to the Existence of Compact Shrinking Ricci Solitons in Dimension Four arxiv.org/abs/2407.21079

Optimal breakpoint selection method for piecewise linear approximation arxiv.org/abs/2407.21081

Quasi-Regression Monte-Carlo scheme for semi-linear PDEs and BSDEs with large scale parallelization on GPUs arxiv.org/abs/2407.21084

Stratified regression Monte-Carlo scheme for semilinear PDEs and BSDEs with large scale parallelization on GPUs arxiv.org/abs/2407.21085

Reflection positivity and its relation to disc, half plane and the strip arxiv.org/abs/2407.21123

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