In this paper,we investigate the following p-Kirchhoff equation{∫R^(N)|u|^(2)dx=ρ,(a+b)∫RN(|Δu}^(p)+|u|^(p))dx)(-Δpu+|u|^(p-2u)=|u|^(s-2)u+μu,x∈R^(N),where a>0,b≥0,p>0 are constants,constants,p*=N-P/Np i...In this paper,we investigate the following p-Kirchhoff equation{∫R^(N)|u|^(2)dx=ρ,(a+b)∫RN(|Δu}^(p)+|u|^(p))dx)(-Δpu+|u|^(p-2u)=|u|^(s-2)u+μu,x∈R^(N),where a>0,b≥0,p>0 are constants,constants,p*=N-P/Np is the critical Sobolev exponent,μis a Lagrange multiplier,-Δpu=-div(|Δu|_(p-2)u),2<p<N2p,μ∈R,and s∈(2N/N+2p-2,p*).We demonstratethat he p-Kirchhoff equation has a normalized solution using the mountain pass lemma and some analysis techniques.展开更多
Non-aqueous electrolyte solvents play a pivotal role in improving the cycling performance of high-voltage Li-rich Mn-based layered cathode materials. In this study, a fluoroether (1,1,2,2-tetrafluoroethyl-2,2,3,3-tetr...Non-aqueous electrolyte solvents play a pivotal role in improving the cycling performance of high-voltage Li-rich Mn-based layered cathode materials. In this study, a fluoroether (1,1,2,2-tetrafluoroethyl-2,2,3,3-tetrafluoropropyl ether, TFEPE) was added to 1.2 mol·L^(-1)LiPF_(6)EC/EMC/DEC at different concentrations to synthesize a series of electrolytes for enhancing the cycling performance of highvoltage Li_(1.18)Mn_(0.50)Ni_(0.26)Co_(0.06)O_(2)(LMNC).展开更多
基金supported by Natural Science Foundation of Fujian Province(No.2022J013392020J01708)National Foundation Training Program of Jimei University(ZP2020057).
文摘In this paper,we investigate the following p-Kirchhoff equation{∫R^(N)|u|^(2)dx=ρ,(a+b)∫RN(|Δu}^(p)+|u|^(p))dx)(-Δpu+|u|^(p-2u)=|u|^(s-2)u+μu,x∈R^(N),where a>0,b≥0,p>0 are constants,constants,p*=N-P/Np is the critical Sobolev exponent,μis a Lagrange multiplier,-Δpu=-div(|Δu|_(p-2)u),2<p<N2p,μ∈R,and s∈(2N/N+2p-2,p*).We demonstratethat he p-Kirchhoff equation has a normalized solution using the mountain pass lemma and some analysis techniques.
基金financially supported by the National Science Foundation for Young Scientists of China (No. 22005264)Beijing Natural Science Foundation Program (No. L182023)the Youth Fund Project of GRINM (No. 12620203129011)。
文摘Non-aqueous electrolyte solvents play a pivotal role in improving the cycling performance of high-voltage Li-rich Mn-based layered cathode materials. In this study, a fluoroether (1,1,2,2-tetrafluoroethyl-2,2,3,3-tetrafluoropropyl ether, TFEPE) was added to 1.2 mol·L^(-1)LiPF_(6)EC/EMC/DEC at different concentrations to synthesize a series of electrolytes for enhancing the cycling performance of highvoltage Li_(1.18)Mn_(0.50)Ni_(0.26)Co_(0.06)O_(2)(LMNC).
