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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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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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On a functional satisfying a weak Palais-Smale condition
Discrete & Continuous Dynamical Systems - A, 2013 In this paper we study a quasilinear elliptic problem whose functional satisfies a weak version of the well known Palais-Smale condition.
A. Azzollini +13 more
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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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Ground states for scalar field equations with anisotropic nonlocal nonlinearities [PDF]
, 2014 We consider a class of scalar field equations with anisotropic nonlocal nonlinearities. We obtain a suitable extension of the well-known compactness lemma of Benci and Cerami to this variable exponent setting, and use it to prove that the Palais-Smale ...
Iannizzotto, Antonio +2 more
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On geodesic flows with symmetries and closed magnetic geodesics on orbifolds [PDF]
, 2017 Let $Q$ be a closed manifold admitting a locally-free action of a compact Lie group $G$. In this paper we study the properties of geodesic flows on $Q$ given by Riemannian metrics which are invariant by such an action.
Asselle, Luca, Schmäschke, Felix
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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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Advances in Nonlinear Analysis, 2023 The article deals with the existence of a pair of nontrivial nonnegative and nonpositive solutions for a nonlinear weighted quasilinear equation in RN{{\mathbb{R}}}^{N}, which involves a double-phase general variable exponent elliptic operator A{\bf{A}}.
Liu Jingjing, Pucci Patrizia
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