New ideas on complete integrability
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Melvyn Berger (1983)
Banach Center Publications
Martin Schechter (1998)
Rendiconti del Seminario Matematico della Università di Padova
Zindine Djadli, Antoinette Jourdain (2002)
Bollettino dell'Unione Matematica Italiana
In this paper we study the nodal solutions for scalar curvature type equations with perturbation. The main results concern the existence of such solutions and the exact description of their zero set. From this we deduce, in particular cases, some multiplicity results.
M. Giaquinta, G. Modica (1982)
Journal für die reine und angewandte Mathematik
Kirane, Mokhtar, Tatar, Nasser-Eddine (2007)
Sibirskij Matematicheskij Zhurnal
Miroslav Pospíšek (1994)
Applications of Mathematics
The paper deals with boundary value problems for systems of nonlinear elliptic equations in a relatively general form. Theorems based on monotone operator theory and concerning the existence of weak solutions of such a system, as well as the convergence of discretized problem solutions are presented. As an example, the approach is applied to the stationary Van Roosbroeck’s system, arising in semiconductor device modelling. A convergent algorithm suitable for solving sets of algebraic equations generated...
K. Schmitt, H.O. Peitgen, D. Saupe (1981)
Journal für die reine und angewandte Mathematik
C.J. Amick, J.F. Toland (1983)
Mathematische Annalen
C. Bandle, L.A. Peletier (1988)
Mathematische Annalen
Miloslav Feistauer (1989)
Aplikace matematiky
The paper is devoted to the solvability of a nonlinear elliptic problem in a plane multiply connected domain. On the inner components of its boundary Dirichlet conditions are known up to additive constants which have to be determined together with the sought solution so that the so-called trailing stagnation conditions are satisfied. The results have applications in the stream function solution of subsonic flows past groups of profiles or cascades of profiles.
Khattri, Sanjay Kumar (2006)
Differential Equations & Nonlinear Mechanics
A. Bensoussan, J. Frehse (1984)
Journal für die reine und angewandte Mathematik
M. Giaquinta, Enrico Giusti (1978)
Manuscripta mathematica
Jean-François Delmas, Pascal Vogt (2005)
Annales de l'I.H.P. Probabilités et statistiques
John Urbas (1995)
Annales de l'I.H.P. Analyse non linéaire
Walter Petry (1974)
Commentationes Mathematicae Universitatis Carolinae
Jens Franke, Thomas Runst (1988)
Czechoslovak Mathematical Journal
Juan Dávila, Marcelo Montenegro (2005)
Annales de l'I.H.P. Analyse non linéaire
Heinrich Begehr, Gerald N. Hile (1982)
Mathematische Zeitschrift
Lancaster, Kirk E. (1988)
International Journal of Mathematics and Mathematical Sciences
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