Synchronism
发表于 2025-3-23 11:33:42
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
发表于 2025-3-23 16:25:37
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
发表于 2025-3-23 18:43:57
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追踪
发表于 2025-3-23 23:26:02
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
发表于 2025-3-24 02:33:50
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thwart
发表于 2025-3-24 10:11:27
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Frisky
发表于 2025-3-24 12:17:02
,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
发表于 2025-3-24 16:42:00
,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
发表于 2025-3-24 21:51:40
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灰姑娘
发表于 2025-3-25 00:20:38
Trends in Mathematicshttp://image.papertrans.cn/c/image/234851.jpg