Results 151 to 160 of about 492 (172)
Three Solutions for a Partial Differential Inclusion Via Nonsmooth Critical Point Theory
Set-Valued and Variational Analysis, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio Iannizzotto
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Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems
Series in Mathematical Analysis and Applications, 2004 Starting in the early 1980s, people using the tools of nonsmooth analysis developed some remarkable nonsmooth extensions of the existing critical point theory.
Leszek Gasinski +1 more
exaly +6 more sources
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Nonsmooth critical point theory and applications to the spectral graph theory
Science China Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang, Kung-Ching +3 more
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Continuous selections of linear functions and nonsmooth critical point theory
Nonlinear Analysis: Theory, Methods & Applications, 1995The paper deals with some aspects of the Morse theory for piecewise affine or smooth functions. Let \(f\), \(f_j\), \(j=1, 2, \dots, m\) be real valued continuous functions on \(\mathbb{R}^n\). If \(I(x)= \{i\mid f_i (x)= f(x)\} \neq \emptyset\) for all \(x\in \mathbb{R}^n\), then \(f\) is called a continuous selection (c.s.) of the functions \(f_1 ...
Bartels, Sven G. +2 more
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Critical point theory for nonsmooth functionals
Nonlinear Analysis: Theory, Methods & Applications, 2007The authors develop critical point theory for nonsmooth potentials \(f\colon H^1_0(\Omega)\longrightarrow\mathbb{R}\) of the form \(f(u)=\frac{1}{2}\int_{\Omega}\sum\limits_{i,j=1}^na_{ij}(x,u)D_iuD_ju\,dx-\int_{\Omega}G(x,u)\,dx\). First, the corresponding deformation lemma is proved. Next, a saddle point theorem is proved for functionals defined on a
Liu, Jiaquan, Guo, Yuxia
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Linking-Type Results in Nonsmooth Critical Point Theory and Applications
Set-Valued and Variational Analysis, 2016The authors extend Schechter's critical point alternative for \(C^1\) functions on closed balls in Hilbert spaces to locally Lipschitz functions on closed balls in reflexive Banach spaces. The key idea is the use of duality mappings. Applications to differential inclusions with \(p\)-Laplacian are given.
Nicuşor Costea +2 more
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Mathematische Annalen, 1998 This paper is devoted to some application of nonsmooth critical point theory to elasticity. In the recent years much interest has been paid to critical points for nonsmooth functionals, especially by the first author and his coworkers. In this paper the authors apply the techniques of modern nonsmooth critical points to nonlinear elasticity, a field ...
Degiovanni, Marco, Schuricht, Friedemann
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The application of the nonsmooth critical point theory to the stationary electrorheological fluids
Zeitschrift für angewandte Mathematik und Physik, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chenyin Qian, Qian Chenyin
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Nonsmooth critical point theory on closed convex sets and nonlinear hemivariational inequalities
Nonlinear Analysis: Theory, Methods & Applications, 2005 The authors construct a constrained nonsmooth critical point theory for locally Lipschitz functionals that are defined only on closed convex subsets of reflexive Banach spaces. This extends Struwe's corresponding theory in the smooth case. The basic technical tool in the extension is represented by the notion of generalized gradient in the sense of ...
Kyritsi, Sophia Th. +1 more
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Applied Mathematics and Computation, 2011
The author considers the following problem for the unknown function \(u\): \[ \alpha'(\Psi(u))\left[-\text{div}(A(x,u)|\nabla u|^{p(x)-2}\nabla u)+\frac{A'_t(x,u)}{p(x)}|\nabla u|^{p(x)}+|u|^{p(x)-2}u\right]=f(x,u) \] in \(\mathbb{R}^n \), \noindent where \(\Psi(\cdot)\) represents a suitable integral operator, and \(A\) and \(f\) are symmetric in ...
Sami Aouaoui
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The author considers the following problem for the unknown function \(u\): \[ \alpha'(\Psi(u))\left[-\text{div}(A(x,u)|\nabla u|^{p(x)-2}\nabla u)+\frac{A'_t(x,u)}{p(x)}|\nabla u|^{p(x)}+|u|^{p(x)-2}u\right]=f(x,u) \] in \(\mathbb{R}^n \), \noindent where \(\Psi(\cdot)\) represents a suitable integral operator, and \(A\) and \(f\) are symmetric in ...
Sami Aouaoui
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