Saddle Points and Multiple Solutions of Differential Equations.
Second order information on Palais-smale sequences in the mountain pass theorem.
Semilinear elliptic equations having asymptotic limits at zero and infinity.
Singly periodic solutions of a semilinear equation
Small eigenvalues of the Neumann realization of the semiclassical Witten Laplacian
This article follows the previous works [HeKlNi, HeNi] by Helffer-Klein-Nier and Helffer-Nier about the metastability in reversible diffusion processes via a Witten complex approach. Again, exponentially small eigenvalues of some self-adjoint realization of are considered as the small parameter tends to . The function is assumed to be a Morse function on some bounded domain with boundary . Neumann type boundary conditions are considered. With these boundary conditions, some possible simplifications...
Solution to a semilinear problem on type II regions determined by the Fučik spectrum.
Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking
Solutions of Minimal Period for a Class of Convex Hamiltonian Systems.
Some perturbation results for non-linear problems
We discuss the existence of closed geodesic on a Riemannian manifold and the existence of periodic solution of second order Hamiltonian systems.
Some remarks on -actions with sections
Some remarks on the discrete Morse-Smale characteristic.
Some results concerning the number of critical points of a smooth map.
Some results on critical groups for a class of functionals defined on Sobolev Banach spaces
We present critical groups estimates for a functional defined on the Banach space , bounded domain in , , associated to a quasilinear elliptic equation involving -laplacian. In spite of the lack of an Hilbert structure and of Fredholm property of the second order differential of in each critical point, we compute the critical groups of in each isolated critical point via Morse index.
Some variational theorems of mixed type and elliptic problems with jumping nonlinearities
Spatially heteroclinic solutions for a semilinear elliptic P.D.E.
This paper uses minimization methods and renormalized functionals to find spatially heteroclinic solutions for some classes of semilinear elliptic partial differential equations
Spatially heteroclinic solutions for a semilinear elliptic P.D.E.
This paper uses minimization methods and renormalized functionals to find spatially heteroclinic solutions for some classes of semilinear elliptic partial differential equations
Species survival versus eigenvalues.
Spectral asymptotics for nonlinear multiparameter problems with indefinite nonlinearities
Speculating About Mountains
∗Partially supported by Grant MM 409/94 of the Mininstry of Education, Science and Technology, Bulgaria. ∗∗Partially supported by Grants MM 521/95, MM 442/94 of the Mininstry of Education, Science and Technology, Bulgaria.The definition of the weak slope of continuous functions introduced by Degiovanni and Marzocchi (cf. [8]) and its interrelation with the notion “steepness” of locally Lipschitz functions are discussed. A deformation lemma and a mountain pass theorem for usco mappings are proved....
Stability of closed characteristics on compact convex hypersurfaces in