Results 51 to 60 of about 1,426,786 (167)
, 2019 In this paper, we prove a new quantitative deformation lemma, and then gain a new mountain pass theorem in Hilbert spaces. By using the new mountain pass theorem, we obtain the new existence of two nontrivial periodic solutions for a class of nonlinear ...
Shiqing Zhang, Jinlong Wei, Liang Ding
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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 +3 more
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Electronic Journal of Differential Equations, 2015 The aim of this article is to study the existence and multiplicity of solutions to operator equations involving duality mappings on Sobolev spaces with variable exponents.
Pavel Matei
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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
A Mountain Pass-type Theorem for Vector-valued Functions [PDF]
, 2011 The mountain pass theorem for scalar functionals is a fundamental result of the minimax methods in variational analysis. In this work we extend this theorem to the class of C^1 functions f : R^n → R^m, where the image space is ordered by the ...
Ewa M. Bednarczuk +7 more
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Electronic Journal of Differential Equations, 2009 In this paper we give an existence result for a class of variational-hemivariational inequality on unbounded domain using the mountain pass theorem and the principle of symmetric criticality for Motreanu-Panagiotopoulos type functionals.
Ildiko-Ilona Mezei, Lia Saplacan
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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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The Mountain Pass Theorem and Applications
, 2010 This project lies at the interface between Nonlinear Functional Anal- ysis, unconstrained Optimization and Critical point theory. It concerns mainly the Ambrosetti-Rabinowitz's Mountain Pass Theorem which is a min-max theorem at the heart of deep ...
Yaptieu, Sylvia
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Multiple solutions for a class of superquadratic fractional Hamiltonian systems
Universal Journal of Mathematics and Applications, 2018 In this paper, we are concerned with the existence of solutions for a class of fractional Hamiltonian systems \[\left\{ \begin{array}{l} _{t}D_{\infty}^{\alpha}(_{-\infty}D_{t}^{\alpha}u)(t)+L(t)u(t)=\nabla W(t,u(t)),\ t\in\mathbb{R}\\ u\in H^{\alpha ...
Mohsen Timoumi
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, 2010 We study the existence of radially symmetric solutions of the following nonlinear scalar field equations in $\mathbb{R}^N$: \begin{gather*} -\Delta u=g(u) \quad \text{in }\mathbb{R}^N,\\ u\in H^1(\mathbb R^N). \end{gather*} We give an extension
Ikoma, Norihisa +2 more
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