Results 1 to 10 of about 38,310 (232)
On mountain pass theorem and its application to periodic solutions of some nonlinear discrete systems [PDF]
Advances in Difference Equations, 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 ...
Liang Ding, Jinlong Wei, Shiqing Zhang
doaj +7 more sources
Image restoration via Picard's and Mountain-pass Theorems
Electronic Research Archive, 2022 In this work, we present existence results for some problems which arise in image processing namely image restoration. Our essential tools are Picard's fixed point theorem for a strict contraction and Mountain-pass Theorem for critical point.
Souad Ayadi , Ozgur Ege
doaj +4 more sources
Relations between the mountain pass theorem and local minima [PDF]
Advances in Nonlinear Analysis, 2012 Existence results of two critical points for functionals unbounded from below are established after pointing out a characterization of the mountain pass geometry. Applications to elliptic Dirichlet problems are then presented.
Bonanno Gabriele
doaj +4 more sources
A Variant of the Mountain Pass Theorem and Variational Gluing [PDF]
Milan Journal of Mathematics, 2020 This paper surveys some recent work on a variant of the Mountain Pass Theorem that is applicable to some classes of differential equations involving unbounded spatial or temporal domains.
Piero Montecchiari, Paul H. Rabinowitz
semanticscholar +4 more sources
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper we show existence and multiplicity of positive solutions using the sub-supersolution method and Mountain Pass Theorem in a general singular system which the operator is not homogeneous neither linear.
Suellen Arruda, Rubia Nascimento
doaj +3 more sources
A mountain pass theorem for minimal hypersurfaces with fixed boundary [PDF]
Calculus of Variations and Partial Differential Equations, 2020 In this work, we prove the existence of a third embedded minimal hypersurface spanning a closed submanifold γ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy ...
Rafael Montezuma
semanticscholar +6 more sources
Existence of solutions for a fourth-order boundary value problem on the half-line via critical point theory [PDF]
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
doaj +15 more sources
Application of a Variant of Mountain Pass Theorem in Modeling Real Phenomena [PDF]
Mathematics, 2022 Mountain Pass Theorem (MPT) is an important result in variational methods with multiple applications in partial differential equations involved in mathematical physics. Starting from a variant of MPT, a new result concerning the existence of the solution
Irina Meghea
openalex +2 more sources
Application of Mountain Pass Theorem to superlinear equations with fractional Laplacian controlled by distributed parameters and boundary data [PDF]
, 2017 In the paper we consider a boundary value problem involving a differential equation with the fractional Laplacian $(-\Delta)^{\alpha/2}$ for $\alpha \in\left( 1,2\right) $ and some superlinear and subcritical nonlinearity $G_{z}$ provided with a ...
Dorota Bors
openalex +3 more sources
Solutions to an anisotropic system via sub-supersolution method and Mountain Pass Theorem
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We use the sub-supersolution method and the Mountain Pass Theorem in order to show existence and multiplicity of solutions for the quasilinear system given by − [ N ∑ i=1 ∂ ∂xi ∣∣∣∣ ∂u ∂xi ∣∣∣∣pi−2 ∂u ∂xi ] = a1(x)u + Fu(x, u, v) in Ω, −
Giovany M. Figueiredo, Julio Silva
openalex +2 more sources