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- Influence

Critical Point Theory and Hamiltonian Systems

1 The Direct Method of the Calculus of Variations.- 2 The Fenchel Transform and Duality.- 3 Minimization of the Dual Action.- 4 Minimax Theorems for Indefinite Functional.- 5 A Borsuk-Ulam Theorem… Expand

Topological degree methods in nonlinear boundary value problems

- J. Mawhin
- Mathematics
- 31 December 1979

Introduction Suggestions for the readerSuggestions for the reader Fredholm mappings of index zero and linear boundary value problems Degree theory for some classes of mappings Duality theorems for… Expand

Topological degree and boundary value problems for nonlinear differential equations

- J. Mawhin
- Mathematics
- 1993

Periodic solutions for nonlinear systems with p-Laplacian-like operators

- R. Manásevich, J. Mawhin
- Mathematics
- 20 May 1998

Let us consider the so-called one-dimensional p-Laplacian operator (,p(u$))$, where p>1 and ,p : R R is given by ,p(s)=|s| p&2 s for s{0 and ,p(0)=0. Various separated two-point boundary value… Expand

Multiple Solutions of the Periodic Boundary Value Problem for Some Forced Pendulum-Type Equations

If f(x) = c > 0 and e is a constant t?, then integrating (0.1) over (0.272) after multiplication of both members of the equation by x’ shows that the only possible solutions are constant, and hence… Expand

Existence and multiplicity results for some nonlinear problems with singular phi-Laplacian

- C. Bereanu, J. Mawhin
- Mathematics
- 15 December 2007

Using Leray-Schauder degree theory we obtain various existence and multiplicity results for nonlinear boundary value problems (phi(u'))' = f (t, u, u'), l(u, u') = 0 where l(u, u') = 0 denotes the… Expand

A multiplicity result for periodic solutions of forced nonlinear second order ordinary differential equations

- C. Fabry, J. Mawhin, M. N. Nkashama
- Mathematics
- 1 March 1986

On considere l'equation differentielle de Lienard x″+f(x)x'+g(t,x)=s, ou s est un parametre reel, f et g sont des fonctions continues, et g est 2π-periodique en t. On etudie le nombre de solutions… Expand

Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces

- J. Mawhin
- Mathematics
- 1 November 1972

and falls in the scope of fixed point theory for the Hammerstein operators, i.e., operators which can be written KN with K : Z-+ X linear. References to works devoted to this theory can be found in… Expand

Variational and topological methods for Dirichlet problems with -Laplacian.

- G. Dinca, P. Jebelean, J. Mawhin
- Mathematics
- 2001

Here ∆p = ∂ ∂xi (|∇u|p−2 ∂u ∂xi ), 1 < p <∞, is the so-called p-Laplacian and f : Ω×R → R is a Carathéodory function which satisfies some special growth conditions. One of the main ideas is to… Expand

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