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Complementary variational principles and variational-iterative principles
Journal of Physics A: Mathematical and General, 1981Complementary variational principles for the solution of certain linear equations are developed. It is shown that these may be used iteratively for the solution of nonlinear equations. Examples are presented with applications in particle theory, electromagnetic theory, communication theory and the Thomas-Fermi statistical theory for atoms.
Burrows, B. L., Perks, A. J.
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Multiparameter Variational Principles
SIAM Journal on Mathematical Analysis, 1982Let T and V be self-adjoint operators on a separable Hilbert space H, where V is bounded and T has compact resolvent. Then a spectral theory, including eigenvector completeness, may be given variationally for the eigenvalue problem \[ Tx = \lambda Vx,\quad 0 \ne x \in H\] provided either $T \gg 0$ (i.e., $(x,Tx) \geq \alpha \| x \|^2 $ for some $\alpha
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Variational principles in elastostatics
Meccanica, 1967In a previous paper three new variational principles of elastostatics in the theory of small displacements were added to the four principles previously known: that of the minimum potential energy, of Menabrea-Finzi, of Reissner and of Hu-Washizu. This paper presents another new principle plus a variant of Reissner's principle and of its dual and ...
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2012
This chapter describes smooth variational principles (of Ekeland type) as infinite two-player games. These variational principles are based on a simple but careful recursive choice of points where certain functions that change during the process have values close to their infima.
Joram Lindenstrauss +2 more
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This chapter describes smooth variational principles (of Ekeland type) as infinite two-player games. These variational principles are based on a simple but careful recursive choice of points where certain functions that change during the process have values close to their infima.
Joram Lindenstrauss +2 more
openaire +2 more sources