LargeH-surfaces via the mountain-pass-lemma
Mathematische Annalen, 1985 L'A. considère le système \(\Delta u=2Hu_ x\wedge u_ y\) où \(B=disque\) unité de \({\mathbb{R}}^ 2\) avec condition de Dirichlet ou condition de Plateau. L'énergie associée à ce système est \(E(u)=(1/2)\int | \nabla u|^ 2+(2H/3)\int u\circ u_ x\bigwedge u_ x\). L'A. montre que si E admet un minimum local \b{u}, alors il existe une deuxième solution \(\
M. Struwe
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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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Existence and multiplicity of solutions for a new p(x)-Kirchhoff problem with variable exponents
Open Mathematics, 2023 In this article, we study a class of new p(x)-Kirchhoff problem without satisfying the Ambrosetti-Rabinowitz type growth condition. Under some suitable superliner conditions, we introduce new methods to show the boundedness of Cerami sequences.
Chu Changmu, Xie Yanling, Zhou Dizhi
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A Mountain Pass to the Jacobian Conjecture
Canadian Mathematical Bulletin, 1998 M. Chamberland, G. Meisters
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, 2020 In this paper, the authors employ Mountain Pass Lemma, the method of weak solution regularization and Lyapunov function method to derive the unique existence of globally exponential stable positive stationary solution of a single-species model with ...
R. Rao
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Countable families of solutions of a limit stationary semilinear fourth-order Cahn-Hilliard-type equation I. Mountain pass and Lusternik-Schnirel’man patterns in RN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \ [PDF]
Boundary Value Problems, 2016 Solutions of the stationary semilinear Cahn-Hilliard-type equation −Δ2u−u−Δ(|u|p−1u)=0in RN,with p>1,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
P. Álvarez-Caudevilla +2 more
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A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds [PDF]
, 2007 We establish new existence and non-existence results for positive solutions of the Einstein-scalar field Lichnerowicz equation on compact manifolds. This equation arises from the Hamiltonian constraint equation for the Einstein-scalar field system in ...
A. Ambrosetti +15 more
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Existence of Nontrivial Solution for a Nonlocal Elliptic Equation with Nonlinear Boundary Condition
Boundary Value Problems, 2009 In this paper, we establish two different existence results of solutions for a nonlocal elliptic equations with nonlinear boundary condition. The first one is based on Galerkin method, and gives a priori estimate. The second one is based on Mountain Pass
Fanglei Wang, Yukun An
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Local minimizers in spaces of symmetric functions and applications [PDF]
, 2014 We study $H^1$ versus $C^1$ local minimizers for functionals defined on spaces of symmetric functions, namely functions that are invariant by the action of some subgroups of $\mathcal{O}(N)$.
Dos Santos +3 more
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Mountain pass frozen planet orbits in the helium atom model [PDF]
Annales de l'Institut Henri Poincare. Analyse non linéarWe seek frozen planet orbits for the helium atom through an application of the mountain pass lemma to the Lagrangian action functional. Our method applies to a wide class of gravitational-like interaction potentials, thus generalising the results in ...
Stefano Baranzini +2 more
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