<p style='text-indent:20px;'>We establish the existence of bounded very weak solutions to a large class stationary diffusive logistic equations with weights by constructing suitable sub and supersolutions. This problems corresponds case in which absorption term dominates over forcing term. The simultaneous singular nonlinearities is also considered. shows that if limitations growth popula...

Abstract In this paper we consider the nonlinear Schrödinger (NLS) equation with power nonlinearity and a point interaction (a ‘ δ -potential’ in physical literature) dimension two three. We will show that for low nonlinearities there is failure of scattering to free dynamics or standing waves. recent paper, Murphy Nakanishi (2021 Discrete Contin. Dyn. Syst. 41 1507–17) NLS potentials measures,...

We study the existence of bound and ground states for a class nonlinear elliptic systems in RN. These equations involve critical power nonlinearities Hardy-type singular potentials, coupled by term containing up to powers. More precisely, we find if either positive coupling parameter ν is large or small under suitable assumptions on other parameters problem. Furthermore, are found as Mountain-P...

We study the existence of positive radial solutions to the singular semilinear elliptic equation {−∆u = f (x, u) , in B u = 0, x ∈ ∂B. Throughout, our nonlinearity is allowed to change sign. The singularity may occur at u = 0 and |x | = 1. © 2005 Elsevier Ltd. All rights reserved. MSC: 34B15; 35J20

In this paper we study the existence result of the singular boundary value problem − 1 p (pu) = f (t, u, pu), 0 < t < 1, lim t→0 + p(t)u (t) = 0 = u(1), Under the assumptions that the nonlinearity f may change sign and is singular at u = 0 and t = 1, we present sufficient conditions in Theorem 1.1 to ensure the existence of positive solutions. Our proof is based on the method of approximation a...

Using a fixed point theorem in cones, this paper shows the existence of positive solutions for the singular three-point boundary-value problem x′′(t) + a(t)f(t, x(t), x′(t)) = 0, 0 < t < 1, x′(0) = 0, x(1) = αx(η), where 0 < α < 1, 0 < η < 1, and f may change sign and may be singular at x = 0 and x′ = 0.

An attempt to improve the accuracy of resolvent-based predictions by including velocity correlations in linear model is developed here. Closure assumptions for unresolved nonlinearities are thus pushed back a higher order. Turbulent channel flow considered as test case: response and forcing modes obtained from singular value decomposition new resolvent compared Spectral Proper Orthogonal Decomp...

Using the theory of fixed point theorem in cone, this paper presents the existence of positive solutions for the singular m-point boundary value problem