Results 71 to 80 of about 24,150 (220)

Normalized solutions of the critical Schrödinger–Bopp–Podolsky system with logarithmic nonlinearity

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract In this paper, we study the following critical Schrödinger–Bopp–Podolsky system driven by the p$p$‐Laplace operator and a logarithmic nonlinearity: −Δpu+V(εx)|u|p−2u+κϕu=λ|u|p−2u+ϑ|u|p−2ulog|u|p+|u|p*−2uinR3,−Δϕ+a2Δ2ϕ=4π2u2inR3.$$\begin{equation*} {\begin{cases} -\Delta _p u+\mathcal {V}(\varepsilon x)|u|^{p-2}u+\kappa \phi u=\lambda |u|^{p-2 ...
Sihua Liang, Xueqi Sun, Shuaishuai Liang, Vicenţiu D. Rădulescu   +3 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  

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, Abdul Basit, Lingfang Li, Chong Hou, Yang Ruan, Yating Wei, Zhenhua Ni   +6 more
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

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
wiley   +1 more source

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

Sequences of weak solutions for fractional equations [PDF]

, 2013
This work is devoted to study the existence of infinitely many weak solutions to nonlocal equations involving a general integrodifferential operator of fractional type.
Bisci, Giovanni Molica
core  

Barriers of the McKean–Vlasov energy via a mountain pass theorem in the space of probability measures [PDF]

, 2020
Rishabh S. Gvalani, André Schlichting
openalex   +1 more source