Milen Ivanov
Abstract
We provide a general method for proving existence of solutions of suitable perturbations of certain variational problems. A novel variational principle enables perturbing only the integrand, thus preserving the form of the problem.
Author information
Milen Ivanov
milen@fmi.uni-sofia.bgNadia Zlateva
zlateva@fmi.uni-sofia.bgReferences
- G. Beer, P. Kenderov: On the argmin multifunction for lower semicontinuous functions, Proc. Amer. Math. Soc. 102 (1988) 107–113.https://doi.org/10.1090/S0002-9939-1988-0915725-3Google Scholar
- G. Beer, R. T. Rockafellar, R. J.-B. Wets: A characterisation of epi-convergence in terms of convergence of level sets, Proc. Amer. Math. Soc. 116 (1992) 753–761.https://doi.org/10.1090/S0002-9939-1992-1119262-6Google Scholar
- F. S. De Blasi: On a property of the unit sphere in a Banach space, Bull. Math. Soc. Sci. Math. Répub. Soc. Roum., Nouv. Sér. 21 (1977) 259–262.Google Scholar
- R. Deville, G. Godefroy, V. Zizler: A smooth variational principle with applications to Hamilton-Jacobi equations in infinite dimensions, J. Funct. Anal. 111 (1993) 197–212.https://doi.org/10.1006/jfan.1993.1009Google Scholar
- R. Deville, G. Godefroy, V. Zizler: Smoothness and Renormings in Banach Spaces, Pitman Monographs and Surveys in Pure and Applied Mathematics 64, Longman Scientific & Technical, Harlow (1993).Google Scholar
- J. Diestel, J. J. Uhl: Vector Measures, American Mathematical Society, Providence (1977).https://doi.org/10.1090/surv/015Google Scholar
- K. Kuratowski: Topology II, Academic Press, New York (1968).Google Scholar
- R. T. Rockafellar, R. J.-B. Wets: Variational Analysis, Comprehensive Studies in Mathematics 317, Springer, Berlin (1998).https://doi.org/10.1007/978-3-642-02431-3Google Scholar
- E. C. Titchmarsh: The Theory of Functions, 2nd Ed., Oxford University Press, London (1952).Google Scholar
Suggested citation
Published by Heldermann Verlag, 2012. Rights now held by Banach Press.
