Superposition operators between Sobolev spaces and a non-existence result of higher-order regular solutions for the \(p\)-Laplacian
type: Item
instance of: scholarly article
title: Superposition operators between Sobolev spaces and a non-existence result of higher-order regular solutions for the \(p\)-Laplacian
zbMATH Open document ID: 1312.35118
author: Florin Isaia
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2015-03-24T00:00:00Z
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 47H30
Mathematics Subject Classification ID: 35D35
zbMATH DE Number: 6419151
zbMATH Keywords: non-existence
zbMATH Keywords: regularity
zbMATH Keywords: degenerate nonlinear elliptic equations
zbMATH Keywords: superposition operators
MaRDI profile type: Publication
full work available at URL: j.na.2015.01.001
OpenAlex ID: W2020751088
cites work: Q4073917
cites work: Q3408273
cites work: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
cites work: Q4077009
cites work: SOME BOUNDARY-VALUE PROBLEMS FOR THE EQUATION 〈.(|〈φ|N〈φ)=0
cites work: SIMILARITY SOLUTIONS IN SOME NON-LINEAR DIFFUSION PROBLEMS AND IN BOUNDARY-LAYER FLOW OF A PSEUDO-PLASTIC FLUID
cites work: Q915547
cites work: On the global \(W^{2,q}\) regularity for nonlinear \(N\)-systems of the \(p\)-Laplacian type in \(n\) space variables
cites work: On the global regularity for nonlinear systems of the \(p\)-Laplacian type
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: An isoperimetric inequality for a nonlinear eigenvalue problem
cites work: Optimization of the first eigenvalue in problems involving the 𝑝-Laplacian
cites work: Q4539336
cites work: Generalized Pohozaev identity and a non-existence result for the \(p\)-Laplacian: weak solutions
cites work: On superposition operators between higher-order Sobolev spaces and a multivariate Faà di Bruno formula: the subcritical case.
cites work: Q5264667
cites work: Superposition Operators Between Higher-order Sobolev Spaces and a Multivariate Faà di Bruno Formula: Supercritical Case
cites work: Variational and topological methods for Dirichlet problems with \(p\)-Laplacian
cites work: Résultats d'existence et de non-existence pour la solution positive et bornée d'une e.d.p. elliptique non linéaire
cites work: Elliptic partial differential equations of second order
cites work: Quasilinear elliptic equations involving critical Sobolev exponents
cites work: On the superposition operator between Sobolev spaces: well-definedness, continuity, boundedness, and higher-order chain rule
cites work: A generalized Pohozaev identity and its applications
cites work: A further remark on the regularity of the solutions of the p-Laplacian and its applications to their finite element approximation
cites work: A remark on the regularity of the solutions of the \(p\)-Laplacian and its application to their finite element approximation
cites work: Higher-Order Regularity for the Solutions of Some Degenerate Quasilinear Elliptic Equations in the Plane
cites work: On the eigenvalue problem for the \(p\)-Laplacian operator in \(\mathbb R^N\)
cites work: Quasi-norm local error estimators for p-Laplacian
cites work: Q3094428
cites work: Q3027502
cites work: Nonexistence theorems for singular solutions of quasilinear partial differential equations
cites work: Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations
cites work: Tug-of-war with noise: a game-theoretic view of the \(p\)-Laplacian
cites work: n-Diffusion
cites work: Q5516356
cites work: Q5587353
cites work: Q3027501
cites work: Nonexistence for \(p\)-Laplace equations with singular weights
cites work: The Existence and non-existence theorems for ground states of nonlinear elliptic systems
cites work: Steady states for a system describing self-gravitating Fermi-Dirac particles.
cites work: Regularity for a more general class of quasilinear equations
DOI: 10.1016/J.NA.2015.01.001
description: scientific article; zbMATH DE number 6419151