Critical boundary value problems in the upper half-space
type: Item
instance of: scholarly article
title: Critical boundary value problems in the upper half-space
zbMATH Open document ID: 1473.35263
author: Marcelo F. Furtado
author: João Pablo P. da Silva
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2021-09-02T00:00:00Z
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35J66
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A15
zbMATH DE Number: 7389852
zbMATH Keywords: critical problems
zbMATH Keywords: half-space
zbMATH Keywords: nonlinear boundary conditions
zbMATH Keywords: existence
zbMATH Keywords: variational methods
MaRDI profile type: Publication
full work available at URL: j.na.2021.112441
OpenAlex ID: W3166575766
cites work: Dual variational methods in critical point theory and applications
cites work: Multidimensional nonlinear diffusion arising in population genetics
cites work: Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: Layer solutions in a half‐space for boundary reactions
cites work: Existence of positive solutions of a semilinear elliptic equation in \(\mathbb{R}_+^n\) with a nonlinear boundary condition
cites work: On the solutions to some elliptic equations with nonlinear Neumann boundary conditions
cites work: Q4039741
cites work: Q3726641
cites work: Q3818662
cites work: Uniqueness theorems on conformal deformation of metrics, sobolev inequalities, and an eigenvalue estimate
cites work: Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary
cites work: Variational problems related to self-similar solutions of the heat equation
cites work: Existence and multiplicity of self-similar solutions for heat equations with nonlinear boundary conditions
cites work: On a weighted trace embedding and applications to critical boundary problems†
cites work: Sur les transformations conformes des variétés riemanniennes à bord. (On conformal transformations of Riemannian manifolds with boundary)
cites work: Nonexistence of a positive solution of the Laplace equation with a nonlinear boundary condition
cites work: The Profile Near Blowup Time for Solution of the Heat Equation with a Nonlinear Boundary Condition
cites work: Uniqueness theorems through the method of moving spheres
cites work: Q4093139
cites work: ASYMPTOTIC BEHAVIOR OF BEST CONSTANTS AND EXTREMALS FOR TRACE EMBEDDINGS IN EXPANDING DOMAINS1*
cites work: Existence and multiplicity of positive solutions for a class of nonlinear boundary value problems
DOI: 10.1016/J.NA.2021.112441
description: scientific article; zbMATH DE number 7389852