Results 71 to 80 of about 1,117,308 (199)
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 $γ$ 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 $γ$.
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Standing waves of nonlinear Schrödinger systems with all attractive forces
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Since the pioneering work of Lin and Wei on nonlinear Schrödinger systems of n$n$ components with interaction forces aij$a_{ij}$ between the i$i$‐th and j$j$‐th components for 1⩽i,j⩽n$1\leqslant i,j\leqslant n$, there have been numerous further developments in many directions. However, even in the simplest case where all interaction forces are
Jaeyoung Byeon
wiley +1 more source
The Mountain Pass Theorem and Applications
, 2010 This project lies at the interface between Nonlinear Functional Anal- ysis, unconstrained Optimization and Critical point theory. It concerns mainly the Ambrosetti-Rabinowitz's Mountain Pass Theorem which is a min-max theorem at the heart of deep ...
Yaptieu, Sylvia
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Deformation Lemma, Ljusternik-Schnirellmann Theory and Mountain Pass Theorem on C1-Finsler Manifolds [PDF]
, 1995 Let M be a complete C1−Finsler manifold without boundary and f : M → R be a locally Lipschitz function. The classical proof of the well known deformation lemma can not be extended in this case because integral lines may not exist.
Tsachev, Tsvetomir +2 more
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Existence of nontrivial solutions for a class of elliptic systems
Electronic Journal of Differential Equations, 2013 Using a version of the generalized mountain pass theorem, we obtain the existence of nontrivial solutions for a class of superquadratic elliptic systems.
Chun Li, Zeng-Qi Ou, Chun-Lei Tang
doaj
Framing the Human Dimensions of Mountain Systems: Integrating Social Science Paradigms for a Global Network of Mountain Observatories [PDF]
, 2016 The Global Network of Mountain Observatories (GNOMO) is an international initiative seeking to increase communication and collaboration and align methodologies to assess commonalities and differences across the world's mountain landscapes.
Flint, Courtney G., Courtney G. Flint
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Existence of Multiple Solutions for a Class of Biharmonic Equations
Discrete Dynamics in Nature and Society, 2013 By a symmetric Mountain Pass Theorem, a class of biharmonic equations with Navier type boundary value at the resonant and nonresonant case are discussed, and infinitely many solutions of the equations are obtained.
Chunhan Liu, Jianguo Wang
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Mountain pass theorem with infinite discrete symmetry
Osaka Journal of Mathematics, 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 ...
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Numerical mountain pass and its applications
, 2006 The mountain pass theorem is an important tool in the calculus of variations and in finding solutions to nonlinear PDEs in general. The mountain pass structure can be exploited numerically, as well.
Gabriel J. Lord +8 more
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A mountain pass theorem without Palais–Smale condition
Comptes Rendus. Mathématique, 2005 Given a Hilbert space ( H , 〈 ⋅ , ⋅ 〉 ) , Λ
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