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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Nonlinear potentials at the fractional scale:sharp regularity
分数尺度 非线性势 尖锐 正则性
2023/11/29
Resonance and Landesman-Lazer condition for some Fully Nonlinear Elliptic equations
Resonance and Landesman-Lazer condition Nonlinear Elliptic equations
2015/4/3
Resonance and Landesman-Lazer condition for some Fully Nonlinear Elliptic equations.
Estimates on the modulus of expansion for vector fields solving nonlinear equations
Estimates vector fields nonlinear equations Differential Geometry
2011/9/5
Abstract: By adapting methods of \cite{AC} we prove a sharp estimate on the expansion modulus of the gradient of the log of the parabolic kernel to the Sch\"ordinger operator with convex potential, wh...
Positive solutions of singularly perturbed nonlinear elliptic problem on Riemannian manifolds with boundary
Positive solutions of singularly perturbed nonlinear elliptic Riemannian manifolds boundary
2011/2/28
Let (M, g) be a smooth connected compact Riemannian manifold of finite dimension n ≥ 2 with a smooth boundary @M. We consider the problem −"2gu + u = |u|p−2u, u > 0 on M, @u @= 0 on @M w...
Nonlinear elliptic equations in conformal geometry
Nonlinear elliptic equations conformal geometry
2014/4/3
This is the set of Nachdiplom lectures which I have given during April-July 2001 at Zurich. In the lectures, I have focused the study on some non-linear partial dierential equations related to curvat...