This result clarifies the relationship between the nontriviality or triviality of the scaling limit for ordinary critical points in four dimensions (or tricritical points in three dimensions) and the existence of logarithmic factors in the asymptotics which define the two critical exponents. This is ...
Ioffe, A.D., Lewis, A.S.: Critical points of simple functions. Optimization 57 (1), 3–16 (2008) MATH MathSciNetIoffe, AD, Lewis, AS (2008) Critical points of simple functions. Optimization 57: pp. 3-16A. Ioffe and A. Lewis, Critical points of simple functions, Optimization, 57...
the contribution from non-BPS multi-instanton configurations, such as instanton-anti-instanton ℐ ℐ ¯ $$ \\left[\\mathrm{\\mathcal{I}}\\overline{\\mathrm{\\mathcal{I}}}ight] $$ pairs, and argue that these contributions should be interpreted as exact critical points at infinity....
A Ambrosetti - 《Mém.soc.math.france》 被引量: 250发表: 1992年 Metric critical point theory: Potential Well Theorem and its applications In this paper, after giving the fundamental definitions of critical and regular points for continuous functions, we survey some applications of the nonsmooth cr...
A characterization of the critical points obtained in this way is given. 关键词: Critical point theory Semilinear elliptic boundary values problems Hamiltonian systems Resonance 49J35 35J65 35B34 DOI: http://dx.doi.org/10.1007/s10114-004-0442-z 被引量: 3 年份: 2001 收藏 引用 批量引用...
An Analytical Formula of Population Gradient for two-layered ReLU network and its Applications in Convergence and Critical Point Analysis First, we prove that critical points outside the hyperplane spanned by the teacher parameters ("out-of-plane") are not isolated and form manifolds, ... Y Tia...
The paper deals with equations driven by a non-local integrodifferential operator \\mathcal L_K \\mathcal L_K with homogeneous Dirichlet boundary conditions. These equations have a variational structure and we find a solution for them u... A Fiscella - 《Topological Methods in Nonlinear Analysi...
Critical points of embeddings of H 0 1 , n into Orlicz spaces compactness at the critical exponent α 2 =4π in the radially symmetric case and establishes the existence of extremal functions also for nonsymmetric ... M Struwe - 《Annales De Linstitut Henri Poincare》 被引量: 233发表: 198...
Distribution of Resonances for the Neumann Problem in Linear Elasticity Outside a Strictly Convex Body (eng) Applying a version of the non-smooth three-critical-points theorem we obtain the existence of three solutions of the problem in W 0 1 , p ( x ) ... P Stefanov,G Vodev - 《Duke...
TOPOLOGICAL DEGREE OF CRITICAL POINTS OF 2-DIMENSION MOUNTAIN-PASS TYPE PRODUCED BY 2-DIMENSION LINK In this letter we study the topological properties of 2-dimension Mountain-Pass Type points and prove that its local topological degree is 1 under some con... 户传平 - 《科学通报(英文版)》 ...