Results 1 to 10 of about 181 (122)
Bifurcation of Gradient Mappings Possessing the Palais-Smale Condition [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 This paper considers bifurcation at the principal eigenvalue of a class of gradient operators which possess the Palais-Smale condition. The existence of the bifurcation branch and the asymptotic nature of the bifurcation is verified by using the ...
Elliot Tonkes
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A Generalized Palais-Smale Condition in the Fr\'{e}chet space setting [PDF]
Pracì Mìžnarodnogo Geometričnogo Centru, 2018 The Palais-Smale condition was introduced by Palais and Smale in the mid-sixties and applied to an extension of Morse theory to infinite dimensional Hilbert spaces.
Kaveh Eftekharinasab
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ON THE PALAIS-SMALE CONDITION FOR NONDIFFERENTIABLE FUNCTIONALS
Taiwanese Journal of Mathematics, 2000 In this paper the author studies the relations between some extensions to nonsmooth functionals of the classical Palais-Smale (PS) compactness condition for smooth functionals. In particular the relations between some results of K. C. Chang and other results by Costa and Goncalves are presented.
Hong-Kun Xu
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On a functional satisfying a weak Palais-Smale condition
Discrete and Continuous Dynamical Systems, 2014 In this paper we study a quasilinear elliptic problem whose functional satisfies a weak version of the well known Palais-Smale condition. An existence result is proved under general assumptions on the nonlinearities.
Antonio Azzollini
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Global inversion via the Palais-Smale condition
Discrete and Continuous Dynamical Systems, 2002 The paper concerns the problem when a local diffeomorphism \(f:\mathbb R^n\to\mathbb R^n\) is bijective. Let \(g\) be a complete Riemannian metric on \(\mathbb R^n\) and \(h:\mathbb R^n\to\mathbb R\) be a smooth function. Let \(\Delta ^{(g)}h\) be its gradient relative to \(g\) i.e. \(g_x(\Delta ^{(g)}h,w)=dh_x(w)\) for all \(w\in \mathbb R^n\).
Scott Nollet, Frederico Xavier
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Multiple critical points theorems without the Palais–Smale condition
Journal of Mathematical Analysis and Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gabriele Bonanno
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The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this work, we study the existence of non-trivial multiple solutions for a class of quasilinear elliptic systems equipped with concave-convex nonlinearities and critical growth terms in bounded domains.
Somayeh Khademloo, Saeed Khanjany Ghazi
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On variational nonlinear equations with monotone operators
Advances in Nonlinear Analysis, 2020 Using monotonicity methods and some variational argument we consider nonlinear problems which involve monotone potential mappings satisfying condition (S) and their strongly continuous perturbations.
Galewski Marek
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Periodic traveling waves in Fermi–Pasta–Ulam type systems with nonlocal interaction on 2d-lattice
Математичні Студії, 2023 The paper deals with the Fermi--Pasta--Ulam type systems that describe an infinite systems of nonlinearly coupled particles with nonlocal interaction on a two dimensional lattice.
S. M. Bak, G. M. Kovtonyuk
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Vitali convergence theorem and Palais-Smale condition
Differential and Integral Equations, 2002 Let \(N\geq 2\) and ...
Chen, Min-Chun +2 more
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