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Some remarks on nonsmooth critical point theory

Journal of Global Optimization, 2006
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Livrea, Roberto, Bisci, Giovanni Molica
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Nonsmooth Critical Point Theory

1999
The aim of this chapter is to present general results, many of them belonging to the authors, that can be applied to locally Lipschitz functionals, possibly invariant under a compact Lie group of linear isometries. The nonsmooth critical point theory in the locally Lipschitz case originates in the work of Chang [4].
D. Motreanu, P. D. Panagiotopoulos
openaire   +1 more source

Nonsmooth critical point theory and quasilinear elliptic equations

1995
These 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.
CANINO, Annamaria, Degiovanni m.
openaire   +2 more sources

Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory

Calculus of Variations and Partial Differential Equations, 2000
The paper deals with the existence of positive multipeak solutions of the semilinear Neumann problem \[ -\varepsilon^2 \Delta u+u= u^p\quad \text{in}\;\Omega,\qquad \partial u/\partial\nu=0\quad \text{on}\;\partial\Omega, \] where \(\Omega\subset\mathbb R^N\) is a bounded and smooth domain, \(N\geq 2,\) \(\varepsilon >0 ...
PISTOIA, Angela, GROSSI, Massimo, WEI J.
openaire   +2 more sources

Buckling of nonlinearly elastic rods in the presence of obstacles treated by nonsmooth critical point theory

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
openaire   +3 more sources

A Survey on Nonsmooth Critical Point Theory and Applications

2001
In the recent years, new advances have been obtained in critical point theory for nonsmooth functionals and in applications to nonlinear differential equations. Here we provide a survey on some of such progresses.
openaire   +1 more source

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 ...
openaire   +1 more source

Critical care of patients with cancer

Ca-A Cancer Journal for Clinicians, 2016
Alexander Shimabukuro-Vornhagen   +2 more
exaly  

Existence and multiplicity of solutions for p(x)-Laplacian equation with nonsmooth potential

Nonlinear Analysis: Real World Applications, 2010
Chenyin Qian, Zifei Shen
exaly  

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