Results 161 to 170 of about 13,629,063 (179)
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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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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 +1 more
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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
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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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Some remarks on nonsmooth critical point theory
Journal of Global Optimization, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Livrea, Roberto, Bisci, Giovanni Molica
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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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Nonsmooth Critical Point Theory
1999The 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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Nonsmooth critical point theory on closed convex sets and nonlinear hemivariational inequalities
Nonlinear Analysis: Theory, Methods & Applications, 2005The 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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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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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
2001In 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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