Critical point theory and nonlinear differential equations
Seventy-five years of global analysis around the forced pendulum equation
The periodic boundary value problem for some second order ordinary differential equations
Louis Nirenberg and Klaus Schmitt: the joy of differential equations.
Bounded solutions: differential vs difference equations.
Nonlinear Neumann boundary value problem with -Laplacian.
A Hartman-Nagumo inequality for the vector ordinary -Laplacian and applications to nonlinear boundary value problems.
The early reception in France of the work of Poincaré and Lyapunov in the qualitative theory of differential equations
Poincaré’s early use of Analysis situs in nonlinear differential equation : variations around the theme of Kronecker’s integral
We analyze the chronological and conceptual evolution of the early use by Poincaré of tools, and in particular of in his qualitative theory of nonlinear differential equations. We show in this way that prior to his famous series of subsequent papers on Poincaré had already obtained or anticipated many important topological results.
Présences des sommes de Riemann dans l'évolution du calcul intégral
Problème de Cauchy pour les équations différentielles et théories de l'intégration : influences mutuelles
The periodic Ambrosetti-Prodi problem for nonlinear perturbations of the p-Laplacian
We prove an Ambrosetti–Prodi type result for the periodic solutions of the equation , when is arbitrary and or when . The proof uses upper and lower solutions and the Leray–Schauder degree.
A tribute to Juliusz Schauder
An analysis of the mathematical contributions of Juliusz Schauder through the writings of contemporary mathematicians, and in particular Leray, Hadamard, Banach, Randolph, Federer, Lorentz, Ladyzhenskaya, Ural’tseva, Orlicz, Gårding and Pietsch.
Generalized multiple Perron integrals and the Green-Goursat theorem for differentiable vector fields
Boundary value problems with nonlinearities having infinite jumps
Nonlinear boundary value problems involving the extrinsic mean curvature operator
The paper surveys recent results obtained for the existence and multiplicity of radial solutions of Dirichlet problems of the type where is the open ball of center and radius in , and is continuous. Comparison is made with similar results for the Laplacian. Topological and variational methods are used and the case of positive solutions is emphasized. The paper ends with the case of a general domain.
The origin and developments of Kurzweil's generalized Riemann integral
The paper describes to origin and motivation of Kurzweil in introducing a Riemann-type definition for generalized Perron integrals and his further contributions to the topics.
A simple proof of a semi-Fredholm principle for periodically forced systems with homogeneous nonlinearities
Contractive mappings and periodically perturbed conservative systems
Nonstandard analysis and generalized Riemann integrals
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