Consider quadratic quasi-linear Klein-Gordon systems with eventually different masses for small, smooth, compactly supported Cauchy data in one space dimension. It is proved that the global existence holds when a conv...Consider quadratic quasi-linear Klein-Gordon systems with eventually different masses for small, smooth, compactly supported Cauchy data in one space dimension. It is proved that the global existence holds when a convenient null condition is satisfied by nonlinearities.展开更多
We consider the nonlinear elliptic equation with mixed boundary conditions [GRAPHICS] where OMEGA is a smooth bounded domain in R(N) (N greater-than-or-equal-to 3), whose boundary partial derivative OMEGA is made of t...We consider the nonlinear elliptic equation with mixed boundary conditions [GRAPHICS] where OMEGA is a smooth bounded domain in R(N) (N greater-than-or-equal-to 3), whose boundary partial derivative OMEGA is made of two open sets GAMMA0 and GAMMA1, GAMMA0 and GAMMA1=phi, partial derivative OMEGA=GAMMA0BAR or GAMMA1BAR, p=N+2/N-2. We prove the existence of a positive solution of (P) when b(x) and lambda satisfy suitable conditions.展开更多
Let Ω be a smooth bounded domain in R<sup>N</sup>（N≥3）, whose boundary is made of two open sets Γ<sub>0</sub> and Γ<sub>1</sub> , Γ<sub>0</sub> ∩ Γ<sub>1&...Let Ω be a smooth bounded domain in R<sup>N</sup>（N≥3）, whose boundary is made of two open sets Γ<sub>0</sub> and Γ<sub>1</sub> , Γ<sub>0</sub> ∩ Γ<sub>1</sub>=φ, Ω=∪. Consider the existence of positive solutions of the following problem （P）:展开更多
文摘Consider quadratic quasi-linear Klein-Gordon systems with eventually different masses for small, smooth, compactly supported Cauchy data in one space dimension. It is proved that the global existence holds when a convenient null condition is satisfied by nonlinearities.
基金Project supported by the Natural Science Foundation of Zhejiang Province.
文摘We consider the nonlinear elliptic equation with mixed boundary conditions [GRAPHICS] where OMEGA is a smooth bounded domain in R(N) (N greater-than-or-equal-to 3), whose boundary partial derivative OMEGA is made of two open sets GAMMA0 and GAMMA1, GAMMA0 and GAMMA1=phi, partial derivative OMEGA=GAMMA0BAR or GAMMA1BAR, p=N+2/N-2. We prove the existence of a positive solution of (P) when b(x) and lambda satisfy suitable conditions.
文摘Let Ω be a smooth bounded domain in R<sup>N</sup>（N≥3）, whose boundary is made of two open sets Γ<sub>0</sub> and Γ<sub>1</sub> , Γ<sub>0</sub> ∩ Γ<sub>1</sub>=φ, Ω=∪. Consider the existence of positive solutions of the following problem （P）:
