Khovanov homotopy type, periodic links and localizations. [PDF]
Math Ann, 2021 Borodzik M, Politarczyk W, Silvero M.
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Asymmetric superlinear problems under strong resonance conditions
Electronic Journal of Differential Equations, 2017 We study the existence and multiplicity of solutions of the problem $$\displaylines{ -\Delta u = -\lambda_1 u^- + g(x,u),\quad \text{in } \Omega; \cr u = 0, \quad \text{on } \partial\Omega, }$$ where $\Omega$ is a smooth bounded domain in $\mathbb{R ...
Leandro Recova, Adolfo J. Rumbos
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On Palais-Smale sequences for H-Systems: some examples
, 2006 We exhibit a series of examples of Palais-Smale sequences for the Dirichlet problem associated to the mean curvature equation with null boundary condition, and we show that in the case of nonconstant mean curvature functions different kinds of blow up ...
Roberta Musina +4 more
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Epithelial-to-mesenchymal transition proceeds through directional destabilization of multidimensional attractor. [PDF]
Elife, 2022 Wang W, Poe D, Yang Y, Hyatt T, Xing J.
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Half-Reeb components, Palais-Smale condition and global injectivity of local diffeomorphisms in R3
, 2021 Let F = (F1, F2, F3): R3 → R3 be a C∞ local diffeomorphism. We prove that each of the following conditions are sufficient to the global injectivity of F: A) The foliations FFi made up by the connected components of the level surfaces Fi = constant ...
Braun, Francisco, Venato-Santos, Jean
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Bubbling Phenomena of Certain Palais-Smale Sequences of m-Harmonic Type Systems
, 2008 . In this paper, we study the bubbling phenomena of weak solution sequences of a class of degenerate quasilinear elliptic systems of m-harmonic type. We prove that, under appropriate conditions, the energy is preserved during the bubbling process.
Changyou Wang, Libin Mou
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A Linear Perturbed Palais-Smale Condition for Lower Semicontinuous Functions on Banach Spaces [PDF]
, 2007 本文首先回顾了变分原理，最优化，扰动优化，扰动强优化和P-S条件发展的历史过程，从而自然引入了线性扰动P-S条件的概念。接着对本文所要用到的基本概念作了一个简单的介绍，最后通过强暴露点，强暴露泛函和非凸函数凸化的方法给出了本文主要定理的证明。 主要结果如下：1.举例说明了线性扰动P-S条件严格弱于P-S条件；2.给出了定义在具有RNP的Banach空间上有下界的下半连续函数的线性扰动P-S条件成立的特征条件。In this paper, we discuss linear perturbed ...
左麦芳
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On an Ambrosetti-Prodi Type Problem with Applications in Modeling Real Phenomena
MathematicsThis work presents a solving method for problems of Ambrosetti-Prodi type involving p-Laplacian and p-pseudo-Laplacian operators by using adequate variational methods. A variant of the mountain pass theorem, together with a kind of Palais-Smale condition,
Irina Meghea
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The Use of Cerami Sequences in Critical Point Theory
Abstract and Applied Analysis, 2007 The concept of linking was developed to produce Palais-Smale (PS) sequences G(uk)→a, G'(uk)→0 for C1functionals G that separate linking sets. These sequences produce critical points if they have convergent subsequences (i.e., if G satisfies the PS ...
Martin Schechter
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Spectral and Palais-Smale conditions for global injectivity of local diffeomorphisms in R2
, 2014 In this work we consider two sufficient conditions for the global injectivity of local diffeomorphisms X : R2 → R2 of class C1. The first is based on the spectrum of X, in this case it is enough to consider X differentiable, and the second is known as ...
Lima, Raildo Santos de
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