<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">FRANCOIS GENOUD</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NONLINEAR SCHR ODINGER EQUATIONS ON R : GLOBAL BIFURCATION, ORBITAL STABILITY AND NONLINEAR WAVEGUIDES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">BIFURCATION AND STABILITY FOR NLS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B32</style></keyword><keyword><style  face="normal" font="default" size="100%">35J60</style></keyword><keyword><style  face="normal" font="default" size="100%">35Q55</style></keyword><keyword><style  face="normal" font="default" size="100%">37C75</style></keyword><keyword><style  face="normal" font="default" size="100%">58J55.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/3/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">412</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;Global bifurcation and stability results are surveyed for standing waves of one-dimensional nonlinear Schrodinger equations in inhomogeneous media. A new bifurcation result for the asymptotically linear case is presented and applications to nonlinear waveguides are discussed.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">395</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">FRANCOIS GENOUD</style></author><author><style face="normal" font="default" size="100%">BRYAN P. RYNNE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOME RECENT RESULTS ON THE SPECTRUM OF MULTI-POINT EIGENVALUE PROBLEMS FOR THE p-LAPLACIAN</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B08</style></keyword><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34L05</style></keyword><keyword><style  face="normal" font="default" size="100%">47J15</style></keyword><keyword><style  face="normal" font="default" size="100%">47N20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/4/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">22</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we describe some recent results regarding the spectral properties of &lt;em&gt;p&lt;/em&gt;-Laplacian problems subject to various forms of multi-point boundary conditions. In particular, we consider Dirichlet and Neumann-type boundary conditions, and mixtures of these conditions. We also consider certain types of nonlocal boundary conditions expressed in terms of Stieltjes integrals, which have been discussed recently and which generalize the previously considered multi-point conditions. It is shown that, under suitable assumptions, the structure of the spectrum and the properties of the eigenfunctions for these boundary value problems with nonlocal boundary conditions are very similar to those of the classical linear Sturm-Liouville problem with separated boundary conditions. Results on global bifurcation, non-resonance conditions and existence of nodal solutions for related nonlinear problems are also presented. In a final section we discuss the necessity of some of the hypotheses we impose, and outline some open problems.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">413</style></section></record></records></xml>