A mountain-pass theorem for asymptotically conical self-expanders [PDF]
Peking Mathematical Journal, 2020 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 ...
Jacob Bernstein, Lu Wang
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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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The structure of the critical set in the mountain pass theorem [PDF]
Transactions of the American Mathematical Society, 1987 We show that the critical set generated by the Mountain Pass Theorem of Ambrosetti and Rabinowitz must have a well-defined structure. In particular, if the underlying Banach space is infinite dimensional then either the critical set contains a saddle point of mountain-pass type, or the set of local minima intersects at least two components of the set ...
Patrizia Pucci, James Serrin
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A Mountain Pass Theorem for a Suitable Class of Functions [PDF]
Rocky Mountain Journal of Mathematics, 2009 In this article, a mountain pass theorem is obtained for a functional of the form \(J=\Phi-\Psi\) defined on a reflexive real Banach space, where \(\Phi\) and \(\Psi\) are continuously Gâteau differentiable functions, \(\Phi\) is convex, and \(J_M = \Phi-\Psi_M\) satisfies the Palais--Smale condition (PS)\(_c\) with \(\Psi_M\) the cut-off function at a
Diego Averna, Gabriele Bonanno
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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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Barriers of the McKean–Vlasov energy via a mountain pass theorem in the space of probability measures [PDF]
Journal of Functional Analysis, 2020 Rishabh S. Gvalani, André Schlichting
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Periodic solution of second-order impulsive delay differential system via generalized mountain pass theorem [PDF]
, 2014 In this paper we use variational methods and generalized mountain pass theorem to investigate the existence of periodic solutions for some second-order delay differential systems with impulsive effects.
Dechu Chen, Binxiang Dai
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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.
Sĩ Tiệp Đinh, Tiến-Sơn Phạm
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Mountain pass theorem in ordered Banach spaces and its applications to semilinear elliptic equations [PDF]
, 2011 Ryuji Kajikiya
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Global invertibility and implicit function theorems by mountain pass\n theorem [PDF]
, 2015 We formulate some global invertibility and implicit function theorems. We extend the result of Idczak, Skowron and Walczak on the invertibility of the operators to the case of the operators with critical points. The proof relies on the Mountain Pass Theorem combined with the Palais-Smale condition guaranteeing the claim by the invertibility of the ...
Dorota Bors, Robert Stańczy
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