Results 91 to 100 of about 38,310 (232)
Space‐Time Causal Discovery in Earth System Science: A Local Stencil Learning Approach
Journal of Geophysical Research: Machine Learning and Computation, Volume 2, Issue 3, September 2025.Abstract Causal discovery tools enable scientists to infer meaningful relationships from observational data, spurring advances in fields as diverse as biology, economics, and climate science. Despite these successes, the application of causal discovery to space‐time systems remains immensely challenging due to the high‐dimensional nature of the data ...
J. Jake Nichol +5 more
wiley +1 more source
Deformation Lemma, Ljusternik-Schnirellmann Theory and Mountain Pass Theorem on C1-Finsler Manifolds [PDF]
, 1995 ∗Partially supported by Grant MM409/94 Of the Ministy of Science and Education, Bulgaria. ∗∗Partially supported by Grant MM442/94 of the Ministy of Science and Education, Bulgaria.Let M be a complete C1−Finsler manifold without boundary and f : M → R be ...
Krastanov, Mikhail +2 more
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Tracer Budgets on Lagrangian Trajectories
Journal of Advances in Modeling Earth Systems, Volume 17, Issue 9, September 2025.Abstract The Lagrangian particle method is widely used to understand scalar tracer concentration fields in models of the atmosphere and oceans. Simulating virtual particles provides an alternative description of advection to the Eulerian representation in models and aids in identifying pathways, timescales, and connectivity.
Wenrui Jiang, Thomas W. N. Haine
wiley +1 more source
Abstract and Applied Analysis, 2012 A class of difference equations which include discrete nonlinear Schrödinger equations as special cases are considered. New sufficient conditions of the existence and multiplicity results of homoclinic solutions for the difference equations are obtained ...
Defang Ma, Zhan Zhou
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A Unified Flow Resistance Formula for Open‐Channels With Natural and Engineered Submerged Obstacles
Water Resources Research, Volume 61, Issue 9, September 2025.Abstract Stream obstacles, naturally formed like boulders or engineered like weirs, are the major source of flow resistance; however, to quantify their flow resistance, a resistance formula needs to be selected in accordance with the specific obstacle type, that is obstacle type dependency.
Xingyu Chen +5 more
wiley +1 more source
Three nontrivial solutions for nonlinear fractional Laplacian equations
Advances in Nonlinear Analysis, 2018 We study a Dirichlet-type boundary value problem for a pseudodifferential equation driven by the fractional Laplacian, proving the existence of three non-zero solutions.
Düzgün Fatma Gamze +1 more
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A mountain pass theorem without Palais–Smale condition
Comptes Rendus. Mathématique, 2005 Given a Hilbert space (H,〈⋅,⋅〉), Λ an interval of R and J∈C2(H,R) whose gradient ∇J:H→H is a compact mapping, we consider a family of functionals of the type: I(λ,u)=〈u,u〉−λJ(u),(λ,u)∈Λ×H. Without further compactness assumptions, we present a deformation lemma to detect critical points. In particular, if I(λ¯,⋅) has a ‘mountain pass structure’ for some
openaire +2 more sources
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
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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Existence of solutions for nonlinear p-Laplacian diference equations
, 2016 The aim of this paper is the study of existence of solutions for non- linear p-Laplacian difference equations. In the first part, the existence of a nontrivial homoclinic solution for a discrete p-Laplacian problem is proved.
Saavedra, L., Tersian, S.
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