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Showing 1 to 11 of 11 for “"Mountain Pass"”.
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Analysis of critical points for nonconvex optimization
… two major mathematical disciplines. Using the mountain pass theory of variational analysis, we are able to establish the uniqueness of the local optimum for problems in which every stationary point of the objective function is a strict local minimum and the function satisfies certain boundary …
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Sobre a teoria de regularidade elíptica via análise da equação de Helmholtz em RN
… Function Theory, Calderón-Zygmund Theory, the Mountain Pass Theorem and Schauder’s Theorem, as well as basic results of Measure and Integration, Complex Analysis, Functional Analysis and the Theory of Sobolev Spaces.
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Nontrivial solutions for nonlinear discrete boundary value problems of the fourth order
… approaches, combined with the classic mountain pass lemma and a result from the theory of invariant sets of descending flow.
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Rotating Nonlinear States in Gross-Pitaevskii Equations
… of which is a local minimizer and the other is a mountain pass type critical point of the associated energy, both with prescribed mass and angular momentum. We also establish that the local minimizer is orbitally stable, while the mountain pass type solution is strongly unstable against finite …
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Topics on critical point theory
… In the first part, we exploit the new powerful mountain pass principle of Ghoussoub and Preiss and its higher dimensional extensions by Ghoussoub to classify the critical points generated by Min-Max methods. The functionals under study are only assumed to be C1and therefore the classical Morse …
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The diurnal cycle of air pollution in the Kathmandu Valley, Nepal
… in the Kathmandu Valley, Nepal -- a bowl-shaped mountain valley of two million people with a growing air pollution problem but little past research. Field measurements and computer simulations were used to study the interplay of emissions and ventilation. From September 2004 through June 2005, CO …
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Periodic q-difference equations
… problem is examined by applying the well-known Mountain Pass theorem. Fifth, the existence of positive periodic solutions of higher-order functional q-difference equations is studied by applying the well-known fixed-point theorem in a cone. Besides these five research papers that are based on …
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Igneous life cycles: geochemistry of magma from mantle to surface and back again
… Hikurangi subduction zone. Alkaline magmatism at Mountain Pass, CA has attracted attention due to its spatial and temporal association with a REE-rich, economically important carbonatite. However, questions remain about the origins of magma here. We present geochemical data for 121 primitive …
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Mathematical and Computational Methods for the n-Body Problem
… methods by implementing a constructive Mountain Pass algorithm, based on the Ambrosetti–Rabinowitz and Barutello–Terracini frameworks, to uncover non-minimising critical points corresponding to new periodic trajectories. The final part of the work establishes a rigorous computer-assisted …
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Connecting the Plots: Anthropogenic Disturbance and Mojave Desert Tortoise (Gopherus agassizii) Genetic Connectivity
… that generally corresponded to valleys and one mountain pass were detected with second order relationships up to 60 km apart, suggesting a greater range of interactions than previously suspected. The correlation between pairwise genetic distances and cost distances revealed reduced genetic …
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PROBLEMI ELLITTICI COINVOLGENTI NONLINEARITA' INDEFINITE NEL SEGNO
Sia $\Omega$ un dominio limitato in $\R^N$, $N\geq 3$. In questa tesi studiamo due problemi ellittici con nonlinearità indefinita nel segno. Siano $\alpha,\beta:\Omega\to\R$ due funzioni misurabili e siano $s\in]1,2[$, $r\in]1,s[$. Per prima cosa ci occupiamo del seguente problema ellittico non …