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Showing 1 to 6 of 6 for “"critical point theory"”.
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Topics on critical point theory
… to the problem of finding and classifying the critical points of a suitable functional on an appropriate manifold. In this thesis, we will be concerned with the problems of existence, location and structure of critical points by building upon the well known min-max methods that are presently …
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Eigenvalue Problem for the 1-Laplace Operator
… a sequence of eigensolutions by using nonsmooth critical point theory. In addition, we deduce a new necessary condition for the first eigenvalue of the 1-Laplace operator by means of inner variations.
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Electroreflectance of gallium arsenide
… The 6e l and 6e2 l1neshapes of six different critical points were analyzed in detail by fitting the one-electron Frapz-Keldysh-Aspnes theory to each separate critical point structure observed. The Eo critical ~oint energy was determined to be 1.427 ± .003eV (at OOC), the spin orbit splitting …
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Semilinear elliptic partial differential equations with the critical Sobolev exponent
… to the Semilinear Elliptic PDEs with the Critical Sobolev Exponent. To this end, we first recall some useful results from functional analysis, including the Sobolev spaces, which provide a natural setting for the idea of weak or generalised solutions. We then present linear PDE theory, …
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Electroreflectance of germanium
… range and in almost all cases, the associated critical points were identified as to their type and origin in k-space. At the direct edge (r~ r7 transitions at .79 eV), interference between the degenerate light and heavy hole band contributions to the lineshape was observed and a good fit to the …
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Infinitely Many Solutions to Asymmetric, Polyharmonic Dirichlet Problems
… principle of Bolle on the behavior of critical values under perturbation, and the variational principle of Tanaka on the existence of critical points of large augmented Morse index. In chapter 3 we use the framework created by Birman and Solomyak for deriving eigenvalue estimates to …