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Semi-classical states for the Nonlinear Schroinger Equation on saddle points of the potential via variational methods
Nonlinear Schrodinger Equation Semiclassical states Variational Methods
2011/9/22
Abstract: In this paper we study semiclassical states for the problem $$ -\eps^2 \Delta u + V(x) u = f(u) \qquad \hbox{in} \RN,$$ where $f(u)$ is a superlinear nonlinear term. Under our hypotheses on ...
Finding saddle points of mountain pass type with quadratic models on affine spaces
Mountain pass algorithm conjugate gradient convergence Krylov subspace indefinite matrix
2011/9/16
Abstract: The problem of computing saddle points is important in certain problems in numerical partial differential equations and computational chemistry, and is often solved numerically by a minimiza...
Existence of Equilibrium in Minimax Inequalities, Saddle Points, Fixed Points, and Games without Convexity Sets
minimax inequality saddle points fixed points coincidence points discontinuity non-quasiconcavity non-convexity non-compactness
2010/7/2
This paper characterizes the existence of equilibria in minimax inequalities without assuming any form of quasi-concavity of functions and convexity or compactness of choice sets. A new condition, cal...