Results 51 to 60 of about 8,805 (153)
1/2-Laplacian problems with exponential nonlinearity
, 2013 By exploiting a suitable Trudinger-Moser inequality for fractional Sobolev spaces, we obtain existence and multiplicity of solutions for a class of one-dimensional nonlocal equations with fractional diffusion and nonlinearity at exponential growth ...
Iannizzotto, Antonio, Squassina, Marco
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Non‐Hermitian Topological Lattice Photonics: An Analytic Perspective
Advanced Photonics Research, Volume 6, Issue 11, November 2025.This review establishes exact analytical solutions for non‐Hermitian Hatano–Nelson, Su–Schrieffer–Heeger, and generalized Rice–Mele models. We demonstrate non‐Hermitian skin effects via point‐gap topology, hybrid skin‐topological edge states in 2D lattices, and spin‐polarized boundary modes governed by dual bulk‐boundary correspondence.
Shihua Chen +6 more
wiley +1 more source
, 2016 We prove the existence of infinitely many solutions to a class of non-symmetric Dirichlet problems with exponential nonlinearities. Here the domain $\Omega \subset\subset \mathbb{R}^{2l}$ where $2l$ is the order of the equation.
Sterjo, Edger
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Kinematic Limit Analysis of Roof Stability for Elliptical Tunnels in Rock Masses
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 49, Issue 16, Page 3880-3896, November 2025.ABSTRACT Noncircular cross‐sections are commonly encountered in engineering practice; however, primary attempts to analyze roof stability have focused on circular and rectangular configurations. This study investigates the roof stability of elliptical tunnels with varying aspect ratios, employing two semi‐analytical approaches: piecewise linear and ...
Tae‐Won Seo, Dowon Park
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Infinitely many solutions to quasilinear Schrödinger equations with critical exponent
Electronic Journal of Qualitative Theory of Differential Equations, 2019 This paper is concerned with the following quasilinear Schrödinger equations with critical exponent: \begin{equation*}\label{eqS0.1} - \Delta _p u+ V(x)|u|^{p-2}u - \Delta _p(|u|^{2\omega}) |u|^{2\omega-2}u = a k(x)|u|^{q-2}u+b |u|^{2\omega p^{*}-2}
Li Wang, Jixiu Wang, Xiongzheng Li
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Existence of solution for perturbed fractional Hamiltonian systems [PDF]
, 2014 In this work we prove the existence of solution for a class of perturbed fractional Hamiltonian systems given by \begin{eqnarray}\label{eq00} -{_{t}}D_{\infty}^{\alpha}(_{-\infty}D_{t}^{\alpha}u(t)) - L(t)u(t) + \nabla W(t,u(t)) = f(t), \end{eqnarray ...
Torres, César
core
Mantle Structure Beneath the Greater Alpine Region From Teleseismic Full P‐Waveform Inversion
Journal of Geophysical Research: Solid Earth, Volume 130, Issue 11, November 2025.Abstract AlpArray data were employed to infer a new mantle model of the Alps from teleseismic full P‐waveform inversion. It features hybrid numerical forward modeling in the time domain, compression of wavefields by Fourier transform at selected frequencies, the use of frequency domain waveform sensitivity kernels and a multi‐scale approach by ...
W. Friederich +5 more
wiley +1 more source
Advances in Mathematical Physics, 2019 In this paper, we investigate the existence of infinitely many solutions to a fractional p-Kirchhoff-type problem satisfying superlinearity with homogeneous Dirichlet boundary conditions as follows: [a+b(∫R2Nux-uypKx-ydxdy)]Lpsu-λ|u|p-2u=gx,u, in Ω, u=0,
Xiangsheng Ren +3 more
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Open Mathematics, 2023 The main purpose is to establish the variational structure of a fourth-order ordinary differential system with both instantaneous and non-instantaneous impulses.
Xia Minggang +2 more
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Water Resources Research, Volume 61, Issue 10, October 2025.Abstract Machine learning (ML) methods applied in scientific research often deal with interrelated features in high‐dimensional data. Reducing data noise and redundancy is needed to increase prediction accuracy and efficiency especially when dealing with data from field sensors.
Timothy K. Johnsen +6 more
wiley +1 more source