Results 11 to 20 of about 33 (33)

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

Existence, uniqueness, localization and minimization property of positive solutions for non-local problems involving discontinuous Kirchhoff functions

Advances in Nonlinear Analysis
Let 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

Existence via regularity of solutions for elliptic systems and saddle points of functionals of the calculus of variations

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

A fractional Kirchhoff problem involving a singular term and a critical nonlinearity

Advances in Nonlinear Analysis, 2017
In this paper, we consider the following critical nonlocal problem:
Fiscella Alessio
doaj   +1 more source

Some remarks about the summability of nonlocal nonlinear problems

Advances in Nonlinear Analysis, 2015
In this note, we will study the problem (-Δ)psu = f(x) on Ω, u = 0 in ℝN∖Ω, where 0 < s < 1, (-Δ)ps is the nonlocal p-Laplacian defined below, Ω is a smooth bounded domain. The main point studied in this work is to prove, adapting the techniques used in [
Barrios Begoña, Peral Ireneo, Vita Stefano   +2 more
doaj   +1 more source

Ground-state solutions for fractional Kirchhoff-Choquard equations with critical growth

Advances in Nonlinear Analysis
We study the following fractional Kirchhoff-Choquard equation: a+b∫RN(−Δ)s2u2dx(−Δ)su+V(x)u=(Iμ*F(u))f(u),x∈RN,u∈Hs(RN),\left\{\begin{array}{l}\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R}}}^{N}}{\left|{\left(-\Delta )}^{\frac{s}{2}}u\right|}
Yang Jie, Chen Haibo
doaj   +1 more source