A bifurcation result for equations with anisotropic -Laplace-like operators.
A "Birkhoff-Lewis" type result for a class of Hamiltonian systems.
A characterization of harmonic sections and a Liouville theorem
Let be a principal fiber bundle and an associated fiber bundle. Our interest is to study the harmonic sections of the projection of into . Our first purpose is give a characterization of harmonic sections of into regarding its equivariant lift. The second purpose is to show a version of a Liouville theorem for harmonic sections of .
A characterization of the eigenvalues of a completely continuous selfadjoint operator
A characterization of the Riemann extension in terms of harmonicity
If is a manifold with a symmetric linear connection, then can be endowed with the natural Riemann extension (O. Kowalski and M. Sekizawa (2011), M. Sekizawa (1987)). Here we continue to study the harmonicity with respect to initiated by C. L. Bejan and O. Kowalski (2015). More precisely, we first construct a canonical almost para-complex structure on and prove that is harmonic (in the sense of E. García-Río, L. Vanhecke and M. E. Vázquez-Abal (1997)) if and only if reduces to the...
A classification and some constructions of -harmonic morphisms.
A compactness theorem of n-harmonic maps
A critical point result for non-differentiable indefinite functionals
In this paper, two deformation lemmas concerning a family of indefinite, non necessarily continuously differentiable functionals are proved. A critical point theorem, which extends the classical result of Benci-Rabinowitz [14, Theorem 5.29] to the above-mentioned setting, is then deduced.
A Cyclic Projection Algorithm Via Duality.
A double eigenvalue problem for Schrödinger equations involving sublinear nonlinearities at infinity.
A few symmetry results for nonlinear elliptic PDE on noncompact manifolds
A finiteness theorem of harmonic maps form compact Lie groups to OHS(H).
A framework for Morse theory for the Yang-Mills functional.
A free boundary problem involving limiting Sobolev exponents.
A general controllability theorem
A general mountain pass principle for locating and classifying critical points
A generalization of Ekeland's variational principle with applications.
A generalization of the Schwarz-Ahlfors lemma fo the theory of harmonic maps.
A Geometric Characterization of Harmonic Diffeomorphisms Between Surfaces.
A geometric construction of (para)-pluriharmonic maps into .