On the solvability of a semilinear higher-order elliptic problem for the vector field method in image registration
type: Item
instance of: scholarly article
title: On the solvability of a semilinear higher-order elliptic problem for the vector field method in image registration
zbMATH Open document ID: 1500.35144
author: Zhongdan Huan
author: Jun Liu
author: Xiao-Jun Zheng
published in: Communications on Pure and Applied Analysis
publication date: 2022-10-21T00:00:00Z
Mathematics Subject Classification ID: 35J58
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 7604659
zbMATH Keywords: semilinear higher-order elliptic system
zbMATH Keywords: Dirichlet condition
zbMATH Keywords: existence
zbMATH Keywords: Schauder fixed point theorem
MaRDI profile type: Publication
full work available at URL: cpaa.2022068
OpenAlex ID: W4226343587
cites work: Q4003604
cites work: Trudinger-Moser type inequality and existence of solution for perturbed non-local elliptic operators with exponential nonlinearity
cites work: Polyharmonic equations with critical exponential growth in the whole space \(\mathbb{R}^{n}\)
cites work: Computing large deformation metric mappings via geodesic flows of diffeomorphisms
cites work: Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in \(\mathbb{R}^4\)
cites work: Uniqueness and boundary behavior of large solutions to elliptic problems with singular weights
cites work: Stable Solutions for the Bilaplacian with Exponential Nonlinearity
cites work: Variational problems on flows of diffeomorphisms for image matching
cites work: Q5189317
cites work: Q3994508
cites work: Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
cites work: Elliptic partial differential equations of second order
cites work: \(1/2\)-Laplacian problems with exponential nonlinearity
cites work: Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\)
cites work: Existence of nontrivial solutions to polyharmonic equations with subcritical and critical exponential growth
cites work: Boundary blow-up quasilinear elliptic problems of the Bieberbach type with nonlinear gradient terms
cites work: Q5614914
cites work: Q5480760
cites work: Existence and asymptotic behavior of boundary blow-up solutions for weighted \(p(x)\)-Laplacian equations with exponential nonlinearities
DOI: 10.3934/CPAA.2022068
description: scientific article; zbMATH DE number 7604659