Nonlinear biharmonic equation in half-space with rough Neumann boundary data and potentials
type: Item
instance of: scholarly article
title: Nonlinear biharmonic equation in half-space with rough Neumann boundary data and potentials
zbMATH Open document ID: 1480.35242
author: Gael Diebou Yomgne
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2021-12-07T00:00:00Z
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 7439868
zbMATH Keywords: polyharmonic operator
zbMATH Keywords: Neumann extension operator
zbMATH Keywords: existence and uniqueness
MaRDI profile type: Publication
full work available at URL: j.na.2021.112623
OpenAlex ID: W3210177490
cites work: On the loss of maximum principles for higher-order fractional Laplacians
cites work: Q5624209
cites work: A note on Riesz potentials
cites work: Q4112938
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Representation formulae for solutions to some classes of higher order systems and related Liouville theorems
cites work: Q5748393
cites work: On the heat equation with nonlinearity and singular anisotropic potential on the boundary
cites work: Sharp Hardy–Littlewood–Sobolev Inequality on the Upper Half Space
cites work: On a bilinear estimate in weak-Morrey spaces and uniqueness for Navier-Stokes equations
cites work: On the Laplace equation with a supercritical nonlinear Robin boundary condition in the half-space
cites work: A Fourier approach for nonlinear equations with singular data
cites work: A semilinear heat equation with a localized nonlinear source and non-continuous initial data
cites work: An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs
cites work: Classical Fourier Analysis
cites work: Restricting Riesz-Morrey-Hardy potentials
cites work: Fractional Integration, morrey spaces and a schrödinger equation
cites work: Convolution operators and L(p, q) spaces
cites work: Very weak solutions to elliptic equations with nonlinear Neumann boundary conditions
cites work: Weak Morrey spaces with applications
cites work: Mean value formulas, Weyl's lemma and Liouville theorems for \(\Delta^ 2\) and Stokes' system
cites work: Classification theorems for solutions of higher order boundary conformally invariant problems. I.
cites work: Non-existence of positive solutions to nonlocal Lane-Emden equations
cites work: Morrey Space
DOI: 10.1016/J.NA.2021.112623
description: scientific article; zbMATH DE number 7439868