-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues.
Kozlov, Vladimir (2006)
Abstract and Applied Analysis
Bhattacharyya, Sikha, Roy Choudhury, R.K. (1984)
International Journal of Mathematics and Mathematical Sciences
Peiluan Li, Youlin Shang (2017)
Open Mathematics
Using variational methods, we investigate the solutions of a class of fractional Schrödinger equations with perturbation. The existence criteria of infinitely many solutions are established by symmetric mountain pass theorem, which extend the results in the related study. An example is also given to illustrate our results.
Anna Maria Micheletti (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Silvia Cingolani, Giuseppina Vannella (2009)
Annales de l'I.H.P. Analyse non linéaire
Vannella, Giuseppina (2017)
Proceedings of Equadiff 14
G. Jona-Lasinio, F. Martinelli, E. Scoppola (1985)
Annales de l'I.H.P. Physique théorique
Sihua Liang, Jihui Zhang (2012)
ESAIM: Control, Optimisation and Calculus of Variations
In this paper, we study the multiplicity of solutions for a class of noncooperative p-Laplacian operator elliptic system. Under suitable assumptions, we obtain a sequence of solutions by using the limit index theory.
Bonanno, Gabriele, D'Aguì, Giuseppina (2010)
Abstract and Applied Analysis
Chen, Yunkai (1998)
International Journal of Mathematics and Mathematical Sciences
R.H. jr. Martin (1974)
Mathematische Annalen
Avner Friedman, Fernando Reitich (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Orlando Lopes (2000)
ESAIM: Control, Optimisation and Calculus of Variations
Orlando Lopes (2010)
ESAIM: Control, Optimisation and Calculus of Variations
In this paper we study the existence of minimizer for certain constrained variational problems given by functionals with nonlocal terms. This type of functionals are first integrals of evolution equations describing long wave propagation and the existence of minimizer gives the existence and the stability of traveling waves for these equations. Due to loss of compactness, the major problem is to prevent dichotomy of minimizing sequences. Our approach is an alternative to the concentration-compactness...
Howard Jacobowitz, Francois Treves (1982)
Inventiones mathematicae
Yoshiaki Teramoto (1984)
Mathematische Zeitschrift
El-Tawil, Magdy A., El-Hazmy, Maha A. (2009)
Differential Equations & Nonlinear Mechanics
Malyshev, Igor (1990)
Journal of Applied Mathematics and Stochastic Analysis
Evans M. Harrell, M. Klaus (1983)
Annales de l'I.H.P. Physique théorique
Hiroshi Isozaki (1982)
Journal für die reine und angewandte Mathematik