Results 61 to 70 of about 729 (179)

Existence and Multiplicity Results of Homoclinic Solutions for the DNLS Equations with Unbounded Potentials

open access: yesAbstract 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
doaj   +1 more source

Compactly‐Supported Nonstationary Kernels for Computing Exact Gaussian Processes on Big Data

open access: yesEnvironmetrics, Volume 36, Issue 8, December 2025.
ABSTRACT The Gaussian process (GP) is a widely used method for analyzing large‐scale data sets, including spatio‐temporal measurements of nonlinear processes that are now commonplace in the environmental sciences. Traditional implementations of GPs involve stationary kernels (also termed covariance functions) that limit their flexibility, and exact ...
Mark D. Risser   +3 more
wiley   +1 more source

Optimal Parameter Extraction of Three‐Diode Photovoltaic Model Using the Hybrid Golden Jackal Optimizer With Fitness Distance Balance Mechanism and Berndt‐Hall‐Hall‐Hausman Method

open access: yesEnergy Science &Engineering, Volume 13, Issue 12, Page 6471-6496, December 2025.
Optimal parameter extraction of three‐diode photovoltaic model using the hybrid golden jackal optimizer with fitness distance balance mechanism and Berndt‐Hall‐Hall‐Hausman method. ABSTRACT Accurate simulation and operation of photovoltaic (PV) systems depend on reliable extraction of model parameters from experimental data.
Muthuramalingam Lakshmanan   +3 more
wiley   +1 more source

Three nontrivial solutions for nonlinear fractional Laplacian equations

open access: yesAdvances 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
doaj   +1 more source

A mountain pass theorem for minimal hypersurfaces with fixed boundary [PDF]

open access: yesCalculus 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 $ $.
openaire   +2 more sources

Using Machine Learning to Discover Parsimonious and Physically‐Interpretable Representations of Catchment‐Scale Rainfall‐Runoff Dynamics

open access: yesWater Resources Research, Volume 61, Issue 12, December 2025.
Abstract Due largely to challenges associated with physical interpretability of machine learning (ML) methods, and because model interpretability is key to credibility in management applications, many scientists and practitioners are hesitant to discard traditional physical‐conceptual modeling approaches despite their poorer predictive performance ...
Yuan‐Heng Wang, Hoshin V. Gupta
wiley   +1 more source

Analysis of the Field Circuit Model for the Suspension Potential of Conductors in Single‐Circuit Outage of Double‐Circuit DC Transmission Lines on the Same Tower

open access: yesHigh Voltage, Volume 10, Issue 6, Page 1522-1531, December 2025.
ABSTRACT In the de‐icing process of double‐circuit direct current (DC) transmission lines on the same tower, an operational condition exists in which one circuit is de‐energised and utilised as part of the de‐icing current path, specifically designed for grounding line de‐icing purposes.
Jilai Xu   +4 more
wiley   +1 more source

Mountain Pass Theorem With infinite symmetry

open access: yes, 2012
We extend a work of Bartsch, Clapp and Puppe on the Mountain pass theorems. We consider functionals invariant with respect to infinite discrete groups satisfying a maximality condition on the finite subgroups.
openaire   +2 more sources

Multiplicity results for logarithmic double phase problems via Morse theory

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4178-4201, December 2025.
Abstract In this paper, we study elliptic equations of the form −divL(u)=f(x,u)inΩ,u=0on∂Ω,$$\begin{align*} -\operatorname{div}\mathcal {L}(u)=f(x,u)\quad \text{in }\Omega, \quad u=0 \quad \text{on } \partial \Omega, \end{align*}$$where divL$\operatorname{div}\mathcal {L}$ is the logarithmic double phase operator given by div|∇u|p−2∇u+μ(x)|∇u|q(e+|∇u ...
Vicenţiu D. Rădulescu   +2 more
wiley   +1 more source

Global invertibility and implicit function theorems by mountain pass theorem

open access: yes, 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 ...
Bors, Dorota, Stańczy, Robert
openaire   +2 more sources

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