On the existence and uniqueness of minima and maxima on spheres of the integral functional of the calculus of variations

Journal of Mathematical Analysis and Applications

Volumn 324, Issue 2, 2006, Pages 1282-1287

  Ricceri, Biagio ^a  

^a UNIVERSITY OF CATANIA   (Italy)

Author keywords

Existence; Integral functional; Maximum; Minimum; Sobolev space; Sphere; Uniqueness

Indexed keywords

EID: 33749515759     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.01.025     Document Type: Article

References (4)

1. Dontchev A.L., and Zolezzi T. Well-Posed Optimization Problems. Lecture Notes in Math. vol. 1543 (1993), Springer-Verlag
2. Schechter M., and Tintarev K. Spherical maxima in Hilbert space and semilinear elliptic eigenvalue problems. Differential Integral Equations 3 (1990) 889-899
3. Struwe M. Variational Methods (1996), Springer-Verlag
4. Zeidler E. Nonlinear Functional Analysis and Its Applications, vol. III (1985), Springer-Verlag