Titlebook: Concentration Analysis and Applications to PDE; ICTS Workshop, Banga Adimurthi,K. Sandeep,Cyril Tintarev Conference proceedings 2013 Spring

Synchronism

Towards a New Shell Model FormalismWe review results concerning optimal Sobolev inequalities in Riemannian manifolds and recent existence/non existence/uniqueness results for Sobolev extremals in the hyperbolic space .. We alsodi scuss exponential integrability in ., the hyperbolic plane, and related topics.

光亮

The Statesman‘s Yearbook 1998-99We prove a general finite-dimensional reduction theorem for critical equations of scalar curvature type. Solutions of these equations are constructed as a sum of peaks. The use of this theorem reduces the proof of existence of multi-peak solutions to some test-functions estimates and to the analysis of the interactions of peaks.

Respond

追踪

Blow-up Solutions for Linear Perturbations of the Yamabe Equation,For a smooth, compact Riemannian manifold (M,g) of dimension . we are interested in the critical equation . where . is the Laplace–Beltrami operator, S. is the scalar curvature of . and ε is a small parameter.

弯曲道理

thwart

Frisky

,The Ljapunov–Schmidt Reduction for Some Critical Problems,r and ..In particular, we prove existence and multiplicity of positive and sign changing solutions which blow-up or blow-down at one or more points of the domain as the parameter є goes to zero. The main tool is the Ljapunov–Schmidt reduction method.

Cryptic

,A Note on Non-radial Sign-changing Solutions for the Schrödinger–Poisson Problem in the Semiclassicassical limit. Indeed we construct non-radial multi-peak solutions with an arbitrary large number of positive and negative peaks which are displaced in suitable symmetric configurations and which collapse to the same point as ϵ ⟶ 0. The proof is based on the Lyapunov–Schmidt reduction.

clarify

灰姑娘

Trends in Mathematicshttp://image.papertrans.cn/c/image/234851.jpg