Critical terms in Chinese poetics pose difficulties to those who expect clear definitions and scopes of reference since many such words are not“properly”defined in their first appearances.To make matters worse,they ...Critical terms in Chinese poetics pose difficulties to those who expect clear definitions and scopes of reference since many such words are not“properly”defined in their first appearances.To make matters worse,they gain new meanings when they are used and re-used in different contexts.By tracing the origins and the further resonances of feng in Chinese poetics,this essay demonstrates the discrepancy between the varied meanings of the word in Chinese and those in the English translations.This essay argues that one should not use their preconceptions to judge other literatures and cultures but to respect this“otherness”by probing the other intellectual traditions to find out their particularities.展开更多
Let Ω ? ? N be a ball centered at the origin with radius R > 0 and N ? 7, 2* = $ \frac{{2N}} {{N - 2}} $ . We obtain the existence of infinitely many radial solutions for the Dirichlet problem ?Δu = $ \frac{\mu }...Let Ω ? ? N be a ball centered at the origin with radius R > 0 and N ? 7, 2* = $ \frac{{2N}} {{N - 2}} $ . We obtain the existence of infinitely many radial solutions for the Dirichlet problem ?Δu = $ \frac{\mu } {{|x|^2 }}u + |u|^{2^* - 2} u + \lambda u $ in Ω, u = 0 on ?Ω for suitable positive numbers μ and λ. Such solutions are characterized by the number of their nodes.展开更多
In this paper,a class of Kirchhoff type equations in R^(N)(N≥3)with zero mass and a critical term is studied.Under some appropriate conditions,the existence of multiple solutions is obtained by using variational meth...In this paper,a class of Kirchhoff type equations in R^(N)(N≥3)with zero mass and a critical term is studied.Under some appropriate conditions,the existence of multiple solutions is obtained by using variational methods and a variant of Symmetric Mountain Pass theorem.The Second Concentration Compactness lemma is used to overcome the lack of compactness in critical problem.Compared to the usual Kirchhoff-type problems,we only require the nonlinearity to satisfy the classical superquadratic condition(Ambrosetti-Rabinowitz condition).展开更多
文摘Critical terms in Chinese poetics pose difficulties to those who expect clear definitions and scopes of reference since many such words are not“properly”defined in their first appearances.To make matters worse,they gain new meanings when they are used and re-used in different contexts.By tracing the origins and the further resonances of feng in Chinese poetics,this essay demonstrates the discrepancy between the varied meanings of the word in Chinese and those in the English translations.This essay argues that one should not use their preconceptions to judge other literatures and cultures but to respect this“otherness”by probing the other intellectual traditions to find out their particularities.
基金supported by the National Natural Science Foundation of China (Grant No. 10526008)
文摘Let Ω ? ? N be a ball centered at the origin with radius R > 0 and N ? 7, 2* = $ \frac{{2N}} {{N - 2}} $ . We obtain the existence of infinitely many radial solutions for the Dirichlet problem ?Δu = $ \frac{\mu } {{|x|^2 }}u + |u|^{2^* - 2} u + \lambda u $ in Ω, u = 0 on ?Ω for suitable positive numbers μ and λ. Such solutions are characterized by the number of their nodes.
基金This work was supported by the National Natural Science Foundation of China(Grant Nos.11701346,11671239,11801338)the Natural Science Foundation of Shanxi Province(Grant No.201801D211001)+1 种基金the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi(Grant No.2019L0024)the Research Project Supported by Shanxi Scholarship Council of China(Grant No.2020-005).
文摘In this paper,a class of Kirchhoff type equations in R^(N)(N≥3)with zero mass and a critical term is studied.Under some appropriate conditions,the existence of multiple solutions is obtained by using variational methods and a variant of Symmetric Mountain Pass theorem.The Second Concentration Compactness lemma is used to overcome the lack of compactness in critical problem.Compared to the usual Kirchhoff-type problems,we only require the nonlinearity to satisfy the classical superquadratic condition(Ambrosetti-Rabinowitz condition).
