We examine a quasilinear system of viscoelastic equations in this study that have fractional boundary conditions,dispersion,source,and variable-exponents.We discovered that the solution of the system is global and con...
Let(M,g)be a compact Riemann surface with unit area,h a smooth function on M.The Kazdan-Warner problem is that under what kind of conditions on h the equationΔu=8π-8πhe^(u) has a solution.In this survey article,we ...
Project supported by the National Natural Science Foundation of China(Grant Nos.52171251 and U21062251);Program of Science and Technology Innovation of Dalian(Grant No.2022JJ12GX036).
The degradation and nonlinear interactions of a two-breather solution of the Mel’nikov equation are analyzed.By modulating the phase shift and limit method,we prove that in different regions near the non-singular bou...
In this paper,C1,1 regularity for solutions to the degenerate dual Orlicz-Minkowski problem is considered.The dual Orlicz-Minkowski problem is a generalization of the Lp dual Minkowski problem in convex geometry.The p...
supported by FAPESQ/Brazil(Grant No.3031/2021);supported by CNPq/Brazil(Grant No.309.692/2020-2)and FAPESQ/Brazil(Grant No.3031/2021).
In this paper we investigate the existence of solution for the following nonlocal problem with Stein-Weiss convolution term-△Φu+V(x)Φ(|u|)u=1/|x|α(∫R^(N)K(y)F(u(y))/|x-y|Y(λ)|y|^(α)dy)K(x)f(u(x)),x∈R^(N),wher...
supported by the NSFC(12271178,12171166);the Guangzhou Basic and Applied Basic Research Foundation(2024A04J2022);the TCL Young Scholar(2024-2027).
In this paper,we study the self-similar solutions of the degenerate diffusion equation ut-div(|▽u^(m)|^(p-2)▽u^(m))=0 of polytropic filtration diffusion in R^(N)×(0,±∞)or(R^(N)/{0})×(0,±∞)with N≥1,m>0,p>1,suc...
supported by the National Natural Science Foundation of China(Grant Nos.12201270,12071195,12225107);by the Innovative Groups of Basic Research in Gansu Province(Grant No.22JR5RA391);by the Science and Technology Plan of Gansu Province(Grant No.22JR5RA535);by the Major Science and Technology Projects in Gansu Province-Leading Talents in Science and Technology(Grant No.23ZDKA0005);by the Fundamental Research Funds for the Central Universities(Grant No.lzujbky-2022-pd04);by the China Postdoctoral Science Foundation(Grant No.2022M721439).
Fractional Klein-Kramers equation can well describe subdiffusion in phase space.In this paper,we develop the fully discrete scheme for time-fractional Klein-Kramers equation based on the backward Euler convolution qua...
supported by the National Natural Science Foundation of China(Grant No.12271488)。
The aim of this paper is to study an extended modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff(mKdV-CBS)equation and present its Lax pair with a spectral parameter.Meanwhile,a Miura transformation is explored...
supported by National Key R&D Program of China(Grant No.2022YFA1005500);National Natural Science Foundation of China(Grant Nos.12031017 and 11971424)。
Given a compact Riemannian manifold M and an open interval I in R,we consider a warped product manifold M=I×φM.For a positive function f defined on M,we obtain the existence of the(η,k)-convex hypersurfaceΣwhich s...
supported by the Basic Science Center Program for Multiphase Media Evolution in Hypergravity of the National Natural Science Foundation of China(No.51988101)。
This study focused on the hydraulic conductivity of sand in centrifuge modeling.A self-designed temperature-controlled falling-head permeameter apparatus was used,and a series of falling-head seepage tests were perfor...