Results 161 to 170 of about 492 (172)

A Survey on Nonsmooth Critical Point Theory and Applications

Nonconvex Optimization and Its 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.
Marco Degiovanni, Degiovanni Marco
openaire   +3 more sources

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   +2 more sources

Some remarks on nonsmooth critical point theory

Journal of Global Optimization, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Livrea, Roberto, Bisci, Giovanni Molica
openaire   +5 more sources

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   +4 more sources

Three anti-periodic solutions for second-order impulsive differential inclusions via nonsmooth critical point theory

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.
Tian, Yu, Henderson, Johnny
openaire   +4 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
openaire   +2 more sources

“Two Nontrivial Critical Points for Nonsmooth Functionals via Local Linking and Applications”

Journal of Global Optimization, 2006
Δημοσίευση σε επιστημονικό περιοδικόSummarization: In this paper, we extend to nonsmooth locally Lipschitz functionals the multiplicity result of Brezis–Nirenberg (Communication Pure Applied Mathematics and 44 (1991)) based on a local linking condition ...
Nikolaos C Kourogenis, Nikolaos S Papageorgiou, Papageorgiou Nikolaos S   +2 more
exaly   +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

Multiplicity of Nontrivial Solutions for Boundary Value Problem for Impulsive Fractional Differential Inclusions Via Nonsmooth Critical Point Theory

Fractional Calculus and Applied Analysis, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Nonsmooth critical point theory and applications to nonlinear differential problems

The motivation for nonsmooth calculus arises from the limitations of classical anal- ysis, where differentiability assumptions often exclude many relevant models. Real world problems in engineering, economics, and optimization frequently involve ir- regular, discontinuous, or nondifferentiable data.
openaire   +1 more source