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Saddle points and multiple solutions of differential equations
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This article is published in Mathematische Zeitschrift.The article was published on 1979-06-01. It has received 187 citations till now. The article focuses on the topics: Equilibrium point & First-order partial differential equation.read more
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Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
TL;DR: In this paper, BARTOLO and V. BENCI this paper present an application for non-linear problems with strong resistance at independence at infinity, and apply to the Istituto di Analisi Matematica.
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Morse-type index theory for flows and periodic solutions for Hamiltonian Equations
C. Conley,Eduard Zehnder +1 more
TL;DR: In this article, an index theory for flows is presented which extends the classical Morse theory for gradient flows on compact manifolds and is used to prove a Morse-type existence statement for periodic solutions of a time-dependent (periodic in time) and asymptotically linear Hamiltonian equation.
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Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations
Herbert Amann,E. Zehnder +1 more
TL;DR: In this paper, the conditions générales d'utilisation (http://www.numdam.org/conditions) are defined, i.e., toute utilisation commerciale ou impression systématique is constitutive d'une infraction pénale.
The method of Nehari manifold
Andrzej Szulkin,Tobias Weth +1 more
TL;DR: A unified approach to the method of Nehari manifold for functionals which have a local minimum at 0 is presented in this article, where several examples where this method is applied to the problem of finding ground states and multiple solutions for nonlinear elliptic boundary value problems.
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Convex Hamiltonian energy surfaces and their periodic trajectories
Ivar Ekeland,Helmut Hofer +1 more
TL;DR: In this article, the authors introduce symplectic invariants for convex Hamiltonian energy surfaces and their periodic trajectories and show that these invariants satisfy several nontrivial relations.
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Non-homogeneous boundary value problems and applications
TL;DR: In this paper, the authors consider the problem of finding solutions to elliptic boundary value problems in Spaces of Analytic Functions and of Class Mk Generalizations in the case of distributions and Ultra-Distributions.
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Dual variational methods in critical point theory and applications
TL;DR: In this paper, general existence theorems for critical points of a continuously differentiable functional I on a real Banach space are given for the case in which I is even.