Results 171 to 179 of about 13,124,526 (179)

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

Fractional Calculus and Applied Analysis, 2015
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A note on coercivity of lower semicontinuous functions and nonsmooth critical point theory

2009
It is well-known that a \(C^1\) functional satisfying the (PS) condition and bounded from below, is coercive. Using the notion of the weak slope of a lower semicontinuous function, defined on a metric space, the above statement is extended to a very general version in this paper, such that almost all known results in this direction are included as ...
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“Two Nontrivial Critical Points for Nonsmooth Functionals via Local Linking and Applications”

Journal of Global Optimization, 2006
Nikolaos S Papageorgiou
exaly  

Nonsmooth critical point theorems and its applications to quasilinear schrödinger equations

Acta Mathematica Scientia, 2016
Zhouxin Li, Yaotian Shen
exaly  

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

Nonlinear Analysis: Real World Applications, 2010
Chenyin Qian
exaly  

A nonsmooth critical point theory via Lusternik–Schnirelmann methods on Finsler manifolds and applications to elliptic problems

Journal of Differential Equations
Ziqing Yuan, Wenjie Li
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