In this paper, we study a class of Schrödinger-Poisson (SP) systems with general nonlinearity where the does not require Ambrosetti-Rabinowitz and Nehari monotonic conditions. We establish new estimates explore associated energy functional which is coercive bounded below on Sobolev space. Together Ekeland variational principle, prove existence ground state solutions. Furthermore, when ‘charge’ ...

We consider convex contact spheres Y Y all of whose Reeb orbits are closed. Any such admits a stratification by the periods closed orbi...

In this paper we generalize some results of fixed point theory to partial metric spaces by using methods in the context a new extension Ekeland?s variational principle. We provide corollaries unify our with other existing literature along same vein. Then, show that require existence assumptions weaker than those for well-known contractive maps, including ones sense Banach, Ciric, Song, Kannan a...

This paper characterizes differentiable and subgame Markov perfect equilibria in a continuous time intertemporal decision problem with non-constant discounting. Capturing the idea of non commitment by letting the commitment period being infinitesimally small, we characterize the equilibrium strategies by a value function, which must satisfy a certain equation. The equilibrium equation is remini...

This paper has two aspects. Mathematically, in the context of global optimization, it provides existence an optimum a perturbed optimization problem that generalizes celebrated Ekeland variational principle and equivalent formulations (Caristi, Takahashi), whenever perturbations need not satisfy triangle inequality. Behaviorally, is continuation recent rationality approach stay (stop) change (g...

This paper establishes (i) an extension of Michel’s (1990, Theorem 1) necessity result to an abstract reduced-form model, (ii) a generalization of the results of Weitzman (1973) and Ekeland and Scheinkman (1986), and (iii) a new result that is useful particularly in the case of homogeneous returns. These results are shown for an extremely general discrete-time reduced-form model that does not a...

In this paper, we study some potential-theoretic aspects of the eikonal and infinity Laplace operator on a Finsler manifold M. Our main result shows that forward completeness M can be detected in terms Liouville properties maximum principles at for subsolutions suitable inequalities, including Δ∞Nu≥g(u). Also, an ∞-capacity criterion viscosity version Ekeland principle are proved to equivalent ...

for all x, y ∈ X . Then there exists a unique fixed point x0 ∈ X of T . This theorem, called the Banach contraction principle, is a forceful tool in nonlinear analysis. This principle has many applications and is extended by several authors: Caristi [2], Edelstein [5], Ekeland [6, 7], Meir and Keeler [14], Nadler [15], and others. These theorems are also extended; see [4, 9, 10, 13, 23, 25, 26,...