Nontrivial solutions to affine \(p\)-Laplace equations via a perturbation strategy
type: Item
instance of: scholarly article
title: Nontrivial solutions to affine \(p\)-Laplace equations via a perturbation strategy
zbMATH Open document ID: 1547.3539
author: Edir Junior Ferreira Leite
author: Marcos Montenegro
published in: Nonlinear Analysis. Real World Applications
publication date: 2024-09-19T00:00:00Z
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 7916224
zbMATH Keywords: affine \(p\)-Laplacian
zbMATH Keywords: existence
zbMATH Keywords: perturbative method
MaRDI profile type: Publication
cites work: From affine Poincaré inequalities to affine spectral inequalities
cites work: Least energy solutions for affine \(p\)-Laplace equations involving subcritical and critical nonlinearities
cites work: Towards existence theorems to affine \(p\)-Laplace equations via variational approach
cites work: The affine Sobolev inequality.
cites work: \(L_ p\) affine isoperimetric inequalities.
cites work: Sharp affine \(L_ p\) Sobolev inequalities.
cites work: Affine Moser-Trudinger and Morrey-Sobolev inequalities
cites work: The sharp affine \(L^2\) Sobolev trace inequality and variants
cites work: Asymmetric affine \(L_p\) Sobolev inequalities
cites work: Sharp affine Sobolev type inequalities via the \(L_{p}\) Busemann-Petty centroid inequality
cites work: Sharp affine weighted 𝐿^{𝑝} Sobolev type inequalities
cites work: Asymmetric Blaschke-Santaló functional inequalities
cites work: An L p-Functional Busemann–Petty Centroid Inequality
cites work: Sharp Sobolev inequalities via projection averages
cites work: Minimization to the Zhang's energy on \(BV (\Omega)\) and sharp affine Poincaré-Sobolev inequalities
cites work: Sharp convex Lorentz-Sobolev inequalities
cites work: Optimal Sobolev norms and the Lp Minkowski problem
cites work: A functional Busemann intersection inequality
cites work: New approach to the affine Pólya-Szegö principle and the stability version of the affine Sobolev inequality
cites work: The sharp affine \(L_2\) Sobolev trace inequality and affine energy in the fractional Sobolev spaces
cites work: Sharp Gagliardo-Nirenberg trace inequalities via mass transportation method and their affine versions
cites work: The affine Sobolev-Zhang inequality on BV(\(\mathbb R^n)\)
cites work: Compactness properties and ground states for the affine Laplacian
cites work: Affine mixed Rayleigh quotients
cites work: Q4343193
cites work: Concentration Compactness
DOI: 10.1016/J.NONRWA.2024.104154
description: scientific article; zbMATH DE number 7916224