Results 11 to 20 of about 148 (54)
On the fractional p-Laplacian equations with weight and general datum
Advances in Nonlinear Analysis, 2016 The aim of this paper is to study the following problem:
Abdellaoui Boumediene +2 more
doaj +1 more source
Convergence estimates and approximation solvability of nonlinear implicit variational inequalities
International Journal of Stochastic Analysis, Volume 15, Issue 1, Page 39-44, 2002., 2002 Approximation‐solvability of a class of nonlinear implicit variational inequalities involving a class of partially relaxed monotone mappings ‐ a computation‐oriented class in a Hilbert space setting‐ is presented with some applications.
Ram U. Verma
wiley +1 more source
Syntheses of differential games and pseudo‐Riccati equations
Abstract and Applied Analysis, Volume 7, Issue 2, Page 61-83, 2002., 2002 For differential games of fixed duration of linear dynamical systems with nonquadratic payoff functionals, it is proved that the value and the optimal strategies as saddle point exist whenever the associated pseudo‐Riccati equation has a regular solution P(t, x). Then the closed‐loop optimal strategies are given by u(t) = −R−1B∗P(t, x(t)), v(t) = −S−1C∗
Yuncheng You
wiley +1 more source
Positive solutions of critical quasilinear elliptic problems in general domains
Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 65-84, 1998., 1998 We consider a certain class of quasilinear elliptic equations with a term in the critical growth range. We prove the existence of positive solutions in bounded and unbounded domains. The proofs involve several generalizations of standard variational arguments.
Filippo Gazzola
wiley +1 more source
Rotationally invariant periodic solutions of semilinear wave equations
Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 171-180, 1998., 1998 Under suitable conditions we are able to solve the semilinear wave equation in any dimension. We are also able to compute the essential spectrum of the linear wave operator for the rotationally invariant periodic case.
Martin Schechter
wiley +1 more source
Existence of a positive solution for nonlinear Schrödinger equations with general nonlinearity
Advances in Nonlinear Analysis, 2014 We study the following nonlinear Schrödinger equations: -Δu+V(x)u=f(u)inℝN.$ - \Delta u + V(x) u = f(u) \quad \text{in } {\mathbb {R}^N}. $ The purpose of this paper is to establish the existence of a positive solution under general conditions which are ...
Sato Yohei, Shibata Masataka
doaj +1 more source
Advances in Nonlinear AnalysisLet Ω⊂Rn\Omega \subset {{\bf{R}}}^{n} be a smooth bounded domain. In this article, we prove a result of which the following is a by-product: Let q∈]0,1[q\in ]0,1{[}, α∈L∞(Ω)\alpha \in {L}^{\infty }\left(\Omega ), with α>0\alpha \gt 0, and k∈Nk\in {\bf{N}}
Ricceri Biagio
doaj +1 more source
Advances in Nonlinear Analysis, 2017 The core of this paper concerns the existence (via regularity) of weak solutions in W01,2${W_{0}^{1,2}}$ of a class of elliptic systems such ...
Boccardo Lucio, Orsina Luigi
doaj +1 more source
Ground state for the relativistic one electron atom [PDF]
, 2018 We study the Dirac-Maxwell system coupled with an external potential of Coulomb type. We use the Foldy--Wouthuysen (unitary) transformation of the Dirac operator and its realization as an elliptic problem in the 4-dim half space $\mathbb{R}^4_{+}$ with Neumann boundary condition. Using this approach we study the existence of a "ground state" solution.
arxiv +1 more source
A Note on Reflected BSDEs in Infinite Horizon with Stochastic Lipschitz Coefficients [PDF]
arXiv, 2021 We consider an infinite horizon, obliquely reflected backward stochastic differential equation (RBSDE). The main contribution of the present work is that we generalize previous results on infinite horizon reflected BSDEs to the setting where the driver has a stochastic Lipschitz coefficient.
arxiv