Papers by Jose Luis Gamez
Journal of Mathematical Analysis and Applications, 2010
We give a condition for a family of functions to be lineable by means of its additivity. The nove... more We give a condition for a family of functions to be lineable by means of its additivity. The novelty presented here is that we solve the lineability problem using a technique that is not constructive, as are most approaches to this problem. We relate the notions of additivity and lineability and use this relation to give a general method to
Nonlinear Analysis-theory Methods & Applications, 1997
Esaim-control Optimisation and Calculus of Variations, 1997
Siam Journal on Control and Optimization, 1998
Communications in Partial Differential Equations, 2001
Page 1. BIFURCATION THEORY AND RELATED PROBLEMS: ANTI-MAXIMUM PRINCIPLE AND RESONANCE* David Arco... more Page 1. BIFURCATION THEORY AND RELATED PROBLEMS: ANTI-MAXIMUM PRINCIPLE AND RESONANCE* David Arcoya and Jose´ L. Ga´mez Department of Mathematical Analysis, University of Granada, Granada 18071, Spain E-mail: [email protected], [email protected] ...
Siam Journal on Mathematical Analysis, 1999
Page 1. ASYMMETRIC MODES IN SYMMETRIC NONLINEAR OPTICAL WAVEGUIDES∗ DAVID ARCOYA , SILVIA CINGOL... more Page 1. ASYMMETRIC MODES IN SYMMETRIC NONLINEAR OPTICAL WAVEGUIDES∗ DAVID ARCOYA , SILVIA CINGOLANI , AND JOSÉ L. GÁMEZ SIAM J. MATH. ANAL. c 1999 Society for Industrial and Applied Mathematics Vol. 30, No. 6, pp. 13911400 Abstract. ...
Calculus of Variations and Partial Differential Equations, 2000
We study a symmetric semilinear elliptic problem in all R N and we prove existence of an asymmetr... more We study a symmetric semilinear elliptic problem in all R N and we prove existence of an asymmetric positive solution by using variational arguments. The corresponding problem in dimension N = 2, which provides the motivation of this work, arises in Nonlinear Optics from the study of the behaviour of optical cylindrical waveguides. Classification (1991): 35J20, 35J60, 35Q55, 35Q60
Mathematische Zeitschrift, 1997
Spain. The hospitality and support of Scuola Normale Superiore of Pisa are gratefully acknowledged.
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Papers by Jose Luis Gamez