Results 1 to 10 of about 24,150 (220)
On mountain pass theorem and its application to periodic solutions of some nonlinear discrete systems [PDF]
Advances in Difference Equations, 2019 In this paper, we prove a new quantitative deformation lemma, and then gain a new mountain pass theorem in Hilbert spaces. By using the new mountain pass theorem, we obtain the new existence of two nontrivial periodic solutions for a class of nonlinear ...
Liang Ding, Jinlong Wei, Shiqing Zhang
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Image restoration via Picard's and Mountain-pass Theorems
Electronic Research Archive, 2022 In this work, we present existence results for some problems which arise in image processing namely image restoration. Our essential tools are Picard's fixed point theorem for a strict contraction and Mountain-pass Theorem for critical point.
Souad Ayadi , Ozgur Ege
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Relations between the mountain pass theorem and local minima [PDF]
Advances in Nonlinear Analysis, 2012 Existence results of two critical points for functionals unbounded from below are established after pointing out a characterization of the mountain pass geometry. Applications to elliptic Dirichlet problems are then presented.
Bonanno Gabriele
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MOUNTAIN PASS THEOREM WITH INFINITE DISCRETE SYMMETRY
, 2016 The Mountain Pass Theorem is one of the fundamental results of calculus of variations and nonlinear analysis, used to establish the existence of critical points (of higher index) with numerous applications in many areas of mathematics. The paper under review extends the classical formulation of this theorem to an equivariant setting, regarding ...
Bárcenas, Noé
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Existence of solutions for a fourth-order boundary value problem on the half-line via critical point theory [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, a fourth-order boundary value problem on the half-line is considered and existence of solutions is proved using a minimization principle and the mountain pass theorem.
Mabrouk Briki +2 more
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The mountain pass theorem in terms of tangencies [PDF]
, 2021 This paper addresses the Mountain Pass Theorem for locally Lipschitz functions on finite-dimensional vector spaces in terms of tangencies. Namely, let $f \colon \mathbb R^n \to \mathbb R$ be a locally Lipschitz function with a mountain pass geometry.
Dinh, Si Tiep, Pham, Tien Son
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A Mountain Pass-type Theorem for Vector-valued Functions [PDF]
Set-Valued and Variational Analysis, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bednarczuk, E +2 more
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Note on an anisotropic p-Laplacian equation in $R^n$ [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2010 In this paper, we study a kind of anisotropic p-Laplacian equations in $R^n$. Nontrivial solutions are obtained using mountain pass theorem given by Ambrosetti-Rabinowitz.
S. El Manouni
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A Mountain-Pass Theorem for Asymptotically Conical Self-Expanders [PDF]
Peking Mathematical Journal, 2022 We develop a min-max theory for asymptotically conical self-expanders of mean curvature flow. In particular, we show that given two distinct strictly stable self-expanders that are asymptotic to the same cone and bound a domain, there exists a new asymptotically conical self-expander trapped between the two.
Jacob Bernstein, Lu Wang
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A mountain pass theorem for minimal hypersurfaces with fixed boundary [PDF]
Calculus of Variations and Partial Differential Equations, 2020 In this work, we prove the existence of a third embedded minimal hypersurface spanning a closed submanifold $ $ contained in the boundary of a compact Riemannian manifold with convex boundary, when it is known a priori the existence of two strictly stable minimal hypersurfaces that bound $ $.
Rafael Montezuma
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