Results 51 to 60 of about 1,440 (207)
On Cahn–Hilliard Type Viscoelastoplastic Two‐Phase Flows
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT This contribution deals with a model for viscoelastoplastic two‐phase flows of Cahn–Hilliard type. We present the modeling framework for the flow, the notion of a generalized solution, namely the so‐called dissipative solution, and the key ideas of the existence proof.
Fan Cheng +2 more
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An extension of the mountain pass lemma [PDF]
, 2008 We present a more general form of the mountain pass lemma. It asserts that a C1 functional which satisfies the Palais–Smale condition admits a critical value when the connectedness of certain level sets changes. We also give an improved form of a theorem
Li, Dongsheng, Wang, Lizhou
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The mountain pass theorem on subsystems of second order arithmetic [PDF]
Treballs Finals del Màster de Lògica Pura i Aplicada, Facultat de Filosofia, Universitat de Barcelona. Curs: 2023-2024. Tutor: David Fernández-DuqueThe main goal of this work is to formalize the Mountain Pass Theorem of Ambrosetti and Rabinowitz within ...
Aguilar Enríquez, Miguel Alejandro
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High Perturbations of a Fractional Kirchhoff Equation with Critical Nonlinearities
AxiomsThis paper concerns a fractional Kirchhoff equation with critical nonlinearities and a negative nonlocal term. In the case of high perturbations (large values of α, i.e., the parameter of a subcritical nonlinearity), existence results are obtained by the
Shengbin Yu +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, a fourth-order boundary value problem on the half-line is considered and existence of solutions is proved using a minimization principle and the mountain pass theorem.
Mabrouk Briki +2 more
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Critical Concave Convex Ambrosetti–Prodi Type Problems for Fractional 𝑝-Laplacian
Advanced Nonlinear Studies, 2020 In this paper, we consider a class of critical concave convex Ambrosetti–Prodi type problems involving the fractional p-Laplacian operator. By applying the linking theorem and the mountain pass theorem as well, the interaction of the nonlinearities with ...
Bueno H. P. +3 more
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Two‐Layer Anisotropy Beneath Subduction Zones: Bayesian Inversion
Journal of Geophysical Research: Solid Earth, Volume 131, Issue 6, June 2026.Abstract Shear‐wave splitting measurements have the potential to constrain multiple layers of anisotropy and thereby enhance depth resolution. Using the formulation of Silver and Savage (1994, https://doi.org/10.1111/j.1365‐246x.1994.tb04027.x), previous studies have employed deterministic grid‐search approaches to identify best‐fitting two‐layer ...
Cheng‐Chien Peng +2 more
wiley +1 more source
Solutions to an anisotropic system via sub-supersolution method and Mountain Pass Theorem [PDF]
, 2019 We use sub-supersolution method and Mountain Pass Theorem in order to show existence and multiplicity of solution for quasilinear system given by \begin{equation*} \begin{cases} -\Big[\displaystyle\sum^{N}_{i=1}\frac{\partial}{\partial x_{i}}\Big \vert
Julio Silva +5 more
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Standing waves of nonlinear Schrödinger systems with all attractive forces
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Since the pioneering work of Lin and Wei on nonlinear Schrödinger systems of n$n$ components with interaction forces aij$a_{ij}$ between the i$i$‐th and j$j$‐th components for 1⩽i,j⩽n$1\leqslant i,j\leqslant n$, there have been numerous further developments in many directions. However, even in the simplest case where all interaction forces are
Jaeyoung Byeon
wiley +1 more source
The impact of the mountain pass theory in nonlinear analysis: a mathematical survey [PDF]
, 2010 This article provides a survey on mountain pass theory. The mountain pass theory is a useful tool to find the critical points of functionals, and it plays a central role in analysis of nonlinear problems, especially nonlinear differential equations ...
PUCCI, Patrizia, V. RADULESCU
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