Results 101 to 110 of about 516,813 (372)
Electronic Journal of Differential Equations, 2000 solutions to nonlinear equations and to (non)resonant semilinear equations involving nonlinear perturbations of Fredholm maps of index zero. We apply our results to semilinear elliptic, and to semilinear parabolic and hyperbolic periodic boundary-value ...
P. S. Milojevic
doaj
Elliptic regularizations for the nonlinear heat equation
Journal of Mathematical Analysis and Applications, 2009 AbstractThe purpose of this paper is to study two elliptic regularizations for the nonlinear heat equation with nonlinear boundary conditions formulated below. Asymptotic expansions of the order zero for the solutions of these elliptic regularizations are established, including some boundary layer corrections.
Emil Cosma, Luminiţa Barbu
openaire +2 more sources
Advanced Science, EarlyView.SURF is a robust reference‐free deconvolution tool that integrates high‐dimensional spatial transcriptomics gene expression analysis with self‐supervised deep learning, enabling effective modeling of non‐linear gene interactions and spot relationships.
Shuyu Liang +9 more
wiley +1 more source
Calculus of Variations and Partial Differential Equations, 2019 In this paper, we study a nonlinear Dirichlet problem of p-Laplacian type with combined effects of nonlinear singular and convection terms. An existence theorem for positive solutions is established as well as the compactness of solution set.
Zhenhai Liu, D. Motreanu, Shengda Zeng
semanticscholar +1 more source
Advanced Science, EarlyView.This study reveals the genetic and molecular mechanisms controlling the general trade‐off between phenotypic mean and plasticity of grain chalkiness in rice and identifies two major external drivers (high temperature and wide grain) and a natural major module (GCP6‐MPC5) that control this trade‐off.
Juncheng Zhang +10 more
wiley +1 more source
Singular nonlinear elliptic equations in Rn
Abstract and Applied Analysis, 1998 This paper deals with existence, uniqueness and regularity of positive generalized solutions of singular nonlinear equations of the form −Δu+a(x)u=h(x)u−γ in Rn where a,h are given, not necessarily continuous functions, and γ is a positive number.
C. O. Alves, J. V. Goncalves, L. A. Maia
doaj +1 more source
Existence of Classical Solutions for Nonlinear Elliptic Equations with Gradient Terms. [PDF]
Entropy (Basel), 2022 Li Y, Ma W.
europepmc +1 more source
On the fast solutions of nonlinear elliptic equations
Numerische Mathematik, 1979 In a recent paper we described a multi-grid algorithm for the numerical solution of Fredholm's integral equation of the second kind. This "multi-grid iteration of the second kind" has important applications to elliptic boundary value problems. Here we study the treatment of nonlinear boundary value problems. The required amount of computational work is
openaire +3 more sources
Advanced Science, EarlyView.By drawing inspiration from biological neural hierarchies and the working mechanisms of plasticity, researchers have constructed a series of bionic devices, including sensory devices, synapse devices, and artificial neural systems. They committed to simulating and surpassing the biological information processing function, thereby realizing the ...
Lu Yang +5 more
wiley +1 more source
Bounds and compactness for solutions of second-order elliptic equations
Electronic Journal of Differential Equations, 2012 In this article, we establish some connections between Sobolev spaces and nonlinear singular elliptic problems, to obtain bounds and compactness results for solutions of second-order elliptic equations.
Carlos C. Aranda
doaj