Results 51 to 60 of about 729 (179)

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

Forecasting and uncertainty estimation of the Shahroud River discharge using long short‐term memory and Kolmogorov–Arnold networks

Vadose Zone Journal, Volume 25, Issue 1, January/February 2026.
Abstract Forecasting river discharge plays a vital role in water resources management, flood control, and also the safe design of hydraulic structures. Due to the complexity and nonlinearity of hydrological processes, in this research, long short‐term memory (LSTM) and Kolmogorov–Arnold networks (KANs) have been used to predict discharge and estimate ...
Amir Mosakhani, Ahmad Sharafati, Aminreza Neshat   +2 more
wiley   +1 more source

Multiplicity of solutions for non-homogeneous Neumann problems in Orlicz-Sobolev spaces

Electronic Journal of Differential Equations, 2017
This article concerns the existence of non-trivial weak solutions for a class of non-homogeneous Neumann problems. The approach is through variational methods and critical point theory in Orlicz-Sobolev spaces.
Shapour Heidarkhani, Massimiliano Ferrara, Giuseppe Caristi, Johnny Henderson, Amjad Salari   +4 more
doaj  

Study on Mechanical Behavior of Longitudinal Wet Joints of Prefabricated Assembled Beam

Advances in Civil Engineering, Volume 2026, Issue 1, 2026.
This study investigates the impact of various interface construction techniques on the bending strength of longitudinal wet joints in bridge superstructures through experimentation. A functional relationship between measured bending strength and theoretical shear strength values is established by finite element simulation.
Keke Peng, Qiming Pan, Arnab Biswas
wiley   +1 more source

On Neumann hemivariational inequalities

Abstract and Applied Analysis, 2002
We derive a nontrivial solution for a Neumann noncoercive hemivariational inequality using the critical point theory for locally Lipschitz functionals. We use the Mountain-Pass theorem due to Chang (1981).
Halidias Nikolaos
doaj   +1 more source

Intelligent Sky Computing: A DDPG‐Based Joint Optimization Scheme for Privacy‐Aware Task Offloading in Multi‐UAV Networks

International Journal of Distributed Sensor Networks, Volume 2026, Issue 1, 2026.
Exploiting privacy‐aware user task offloading in a multi‐UAV–assisted edge computing system offers a new approach to reduce and balance energy consumption and latency. However, the complexity and variability of operating scenarios can make privacy‐aware user task offloading strategies challenging. This paper examines a system with multiple ground users,
Ke Jiang, Jun Tao, Kun Chen, Rujie Chen, Chao Wang, Wuhao Guo, Zuyan Wang, Christos Anagnostopoulos   +7 more
wiley   +1 more source

Multiple solutions for Schrodinger-Maxwell systems with unbounded and decaying radial potentials

Electronic Journal of Differential Equations, 2014
This article concerns the nonlinear Schrodinger-Maxwell system $$\displaylines{ -\Delta u +V(|x|)u +Q(|x|)\phi u=Q(|x|) f(u),\quad \hbox{in } \mathbb{R}^3\cr -\Delta \phi =Q(|x|) u^{2}, \quad \hbox{in } \mathbb{R}^3 }$$ where V and Q are unbounded ...
Fangfang Liao, Xiaoping Wang, Zhigang Liu   +2 more
doaj  

Multiple Solutions for a Critical Steklov Kirchhoff Equation

Fractal and Fractional
In the present work, we study some existing results related to a new class of Steklov p(x)-Kirchhoff problems with critical exponents. More precisely, we propose and prove some properties of the associated energy functional. In the first existence result,
Maryam Ahmad Alyami, Abdeljabbar Ghanmi
doaj   +1 more source

Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian

The Scientific World Journal, 2013
A class of nonlinear Neumann problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. The approach used in this paper is the variational method for locally Lipschitz functions.
Qing-Mei Zhou
doaj   +1 more source

Triple Solutions for Nonlinear (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff Type Equations

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this manuscript, we study a (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff equation involving a continuous positive potential that satisfies del Pino–Felmer type conditions: K1∫ℝN11/μ1z∇ψμ1z dz+∫ℝN/μ1zVzψμ1z dz−Δμ1·ψ+Vzψμ1z−2ψ+K2∫ℝN11/μ2z∇ψμ2z dz+∫ℝN/μ2zVzψμ2z dz−Δμ2·ψ+Vzψμ2z−2ψ=ξ1θ1z,ψ+ξ2θ2z,ψ inℝN, where K1 and K2 are Kirchhoff functions, Vz is a ...
Ahmed AHMED, Moussa Ahmed Salem ATIGH, Mohamed Saad Bouh ELEMINE VALL, Calogero Vetro   +3 more
wiley   +1 more source