Results 161 to 170 of about 13,124,526 (179)
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Some remarks on nonsmooth critical point theory
Journal of Global Optimization, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giovanni Molica Bisci, Roberto Livrea
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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.
Costea Nicusor
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The application of the nonsmooth critical point theory to the stationary electrorheological fluids
Zeitschrift Fur Angewandte Mathematik Und Physik, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chenyin Qian
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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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Three Solutions for a Partial Differential Inclusion Via Nonsmooth Critical Point Theory
Set-Valued and Variational Analysis, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio Iannizzotto
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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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Nonsmooth critical point theory and quasilinear elliptic equations
1995These lectures are devoted to a generalized critical point theory for nonsmooth functionals and to existence of multiple solutions for quasilinear elliptic equations. If f is a continuous function defined on a metric space, we define the weak slope |df|(u), an extended notion of norm of the Frechet derivative.
Marco Degiovanni
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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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Nonlinear Analysis: Theory, Methods & Applications, 2012
The main result of the paper establishes the existence of at least three anti-periodic solutions for a second-order impulsive differential inclusion. The authors develop a novel variational approach in the context of impulsive differential inclusions.
Johnny Henderson
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The main result of the paper establishes the existence of at least three anti-periodic solutions for a second-order impulsive differential inclusion. The authors develop a novel variational approach in the context of impulsive differential inclusions.
Johnny Henderson
exaly +3 more sources
Existence of weak solutions to general Euler's equations via nonsmooth critical point theory
, 2000 We investigate existence of weak solutions to general Euler's equations via nonsmooth critical point ...
SQUASSINA, Marco
core +3 more sources