Charles A. Stuart

address : EPFL - IACS, CH-1015 Lausanne (Switzerland)

e-mail : Charles.Stuart@epfl.ch
office : MA 657
phone : + 41 21 693 25 91

Here are some of my published papers.

Math. Z. 2001	Global bifurcation for quasilinear elliptic equations on R^N, to appear in Math.Z. (with P.J. Rabier)	2001
Math.Nach. 2001	Fredholm and properness properties of quasilinearelliptic equations on R^N, to appear in Math. Nach. (with P.J. Rabier)	2001
Anal nonlineaire 2001	Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric, Anal. IHP, Anal. nonlineaire, 16(2001), 69-96 (with H.S. Zhou)	2001
JLMS 2000	Spectrum of a self-adjoint operator and Palais-Smale conditions, J. London Math. Soc., 61 (2000), 581-592	2000
CRAS 2000	Buckling of a tapered elastica, C.R. Acad. Sci. Paris, 331 (2000), 417-421	2000
JMPA 2001	Buckling of a heavy tapered rod, to appear in J. Math. Pures et Appl.	2001
JDE 2000	Exponential decay of solutions of quasilinear second order equations and Pohozaev identities, J. Diff. Equat., 168 (2000) 199-234 (with P.J. Rabier)	2000
JDIE 2000	Fredholm properties of Schroedinger operators in L^p(R^N), J.Diff. Integral Equat., 13(2000), 1429-1444 (with P.J. Rabier)	2000
ZAA 2001	A discretised nonlinear eigenvalue problem with many spurious branches of solutions, to appear in ZAA. (with G. Vuillaume)	2001
PNDEA 2000	C¹-Fredholm maps and bifurcation for quasilinear elliptic equations, Progress in Nonlinear Differential Equations and their Applications, 40(2000), 249-264	2000

Comm. PDE 1999	Applying the mountain pass theorem to an asymptopically linear elliptic equation on R^N, Comm. PDE, 24(1999), 1731-1758 (with H.S.Zhou)	1999
ADE 1999	Nonlinear eigenvalue problems having an unboundedbranch of symmetric bound states, Advances Diff. Equat., 4(1999),639-670	1999
Math.Z. 1999	Branches of solutions to a semilinear elliptic equation on R^N, Math. Z., 230(1999), 70-105 (with H. Jeanjean and M. Lucia)	1999
Rend. Padova 1999	The branch of positive solutions to a semilinear elliptic equation on R^N, Rend. Sem. Mat. Univ. Padova, 101(1999), 228-262 (with H. Jeanjean and M. Lucia)	1999
Lectures on elliptic equations	An introduction to elliptic equations on R^N , Nonlinear Functional Analysis and its Applications, ed. A. Ambrosetti,K.-C. Chang, E. Ekeland, World Scientific, 1998, 237-285	1998
Survey	Bifurcation from the essential spectrum, Topological Nonlinear Analysis, ed. A. Matzeu and A. Vignoli, Birkhauser, 1997, 397-443	1997
RDS(Trieste) 1998	Magnetic field wave equations for TM - modes in nonlinear optical waveguides, in Reaction Diffusion Systems, ed. G. Caristi and E.Mitidieri, Marcel Dekker, 1998, 377 - 400	1998
NPDE (Fez)	Cylindrical TE and TM-modes in a self-focusing dielectric, in Nonlinear Partial Differential Equations, Pitman Research Notes in Math., No 343, 1996, 167-178	1996
	Cylindrical TM-modes in a homogeneous self-focusing dielectric, Math. Models & Meth. Appl. Sci., 7 (1996), 977-1008	1996
	A variational problem related to self-focusing ofan electro-magnetic field, Math. Meth. Appl. Sci., 19 (1996), 1397-1407 (with H.-S. Zhou)	1996
SIAM 1995	Guided TM-modes in a self-focusing anisotropic dielectric, published by SIAM in the "Nonlinear Problems in Applied Mathematics", 1995, 225-234	1995
Monograph 1995	Bifurcation into spectral gaps, monograph published as Supplement to the Bulletin of the Belgian Mathematical Society, 1995	1995