Jean Mawhin’s contributions to critical point theory
نویسنده
چکیده
Content The first paper by Jean Mawhin on critical point theory [] was published in and was devoted to periodic solutions of a forced pendulum equation. One of the most recent papers in [] concerns periodic solutions of difference systems with φ-Laplacian. It is impossible to describe all the contributions. We have selected articles, books and some fundamental topics: the forced pendulum equation, convex perturbations of indefinite quadratic functionals, construction of almost critical points, converse to the Lagrange-Dirichlet theorem, and Neumann problems for the φ-Laplacian.
منابع مشابه
Solvability for Second-order M-point Boundary Value Problems at Resonance on the Half-line
In this article, we investigate the existence of positive solutions for second-order m-point boundary-value problems at resonance on the half-line (q(t)x′(t))′ = f(t, x(t), x′(t)), a.e. in (0,∞), x(0) = m−2 X i=1 αix(ξi), lim t→∞ q(t)x′(t) = 0. Some existence results are obtained by using the Mawhin’s coincidence theory.
متن کاملSolvability of an impulsive boundary value problem on the half-line via critical point theory
In this paper, an impulsive boundary value problem on the half-line is considered and existence of solutions is proved using Minimization Principal and Mountain Pass Theorem.
متن کاملUsing the Finite Element Analysis Method to Study the 3-point Bending Test for the Characterization of the Adherence
An elastic finite element analysis was conducted to evaluate the stress distribution in the initiation zone of the adhesive rupture during the 3-point bending test. This test is used to measure the adherence between a polyepoxy adhesive and aluminum alloy with different surface treatments. The purpose is to compare, in the high stress concentration areas, the stress fields calculated using fini...
متن کاملMulti-point Boundary-value Problems for the P-laplacian at Resonance
In this paper, we consider multi-point boundary-value problems for the p-laplacian at resonance. Applying an extension of Mawhin’s continuation theorem, we show the existence of at least one solution.
متن کاملA variational approach to the problem of oscillations of an elastic half cylinder
This paper is devoted to the spectral theory (more precisely, tothe variational theory of the spectrum) of guided waves in anelastic half cylinder. We use variational methods to investigateseveral aspects of propagating waves, including localization (seeFigure 1), existence criteria and the formulas to find them. Weapproach the problem using two complementary methods: Thevariational methods fo...
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