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A Quantitative Second Order Sobolev Regularity for(inhomogeneous)Normalized p(·)-Laplace Equations
《Acta Mathematica Sinica,English Series》2025年第1期99-121,共23页Yuqing Wang Yuan Zhou 
Supported by the National Natural Science Foundation of China(Grant Nos.12025102,12071098,11871088)。
LetΩbe a domain of Rn with n≥2 and p(·)be a local Lipschitz funcion inΩwith 1
关键词：Normalized p(x)-Laplacian strong p(x)-Laplacian second order regularity quasiregular mapping 
The Webster Scalar Curvature and Sharp Upper and Lower Bounds for the First Positive Eigenvalue of the Kohn-Laplacian on Real Hypersurfaces
《Acta Mathematica Sinica,English Series》2018年第8期1248-1258,共11页Song Ying LI Duong Ngoc SON 
supported by the Austrian Science Fund FWF,Pro ject No.I01776
Let （M, θ） be a compact strictly pseudoconvex pseudonermitian manifold winch is CR embedded into a complex space. In an earlier paper, Lin and the authors gave several sharp upper bounds for the first positive eige...
关键词：CR manifold EIGENVALUE Kohn-Laplacian Webster curvature 
Universal Inequalities for Lower Order Eigenvalues of Self-Adjoint Operators and the Poly-Laplacian被引量：2
《Acta Mathematica Sinica,English Series》2013年第11期2209-2218,共10页He Jun SUN Ling Zhong ZENG 
supported by National Natural Science Foundation of China(Grant No.11001130)
In this paper, we first establish an abstract inequality for lower order eigenvalues of a self-adjoint operator on a Hilbert space which generalizes and extends the recent results of Cheng et al. （Calc. Var. Partial ...
关键词：EIGENVALUE self-adjoint operator biharmonic operator poly-Laplacian Riemannian man- ifold 
Existence of Positive Solutions to Semipositone Singular Dirichlet Boundary Value Problems被引量：2
《Acta Mathematica Sinica,English Series》2006年第6期1891-1914,共24页Svatoslav STAN■K 
This work is supported by Grant No.201/04/1077 of the Grant Agency of Czech Republic;by the Council of Czech Government MSM 6198959214
The paper presents the conditions which guarantee that for some positive value of μ there are positive solutions of the differential equation （Ф（x＇））＇＋μQ（t, x, x＇） = 0 satisfying the Dirichlet boundary co...
关键词：EXISTENCE positive solution semipositone singular problem Dirichlet boundary conditions Ф-Laplacian 
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