Multiple solutions for semilinear totally characteristic elliptic equations with subcritical or critical cone Sobolev exponents
type: Item
instance of: scholarly article
title: Multiple solutions for semilinear totally characteristic elliptic equations with subcritical or critical cone Sobolev exponents
zbMATH Open document ID: 1239.35045
author: Hua Chen
author: Xiaochun Liu
author: Yawei Wei
published in: Journal of Differential Equations
publication date: 2012-03-22T00:00:00Z
review text: The authors study an elliptic problem with Dirichlet boundary condition. In both critical and subcritical cases the existence of infinitely many solutions is obtained.
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 58J05
zbMATH DE Number: 6017656
zbMATH Keywords: elliptic equation
zbMATH Keywords: Dirichlet boundary value problem
reviewed by: Leszek Gasiński
MaRDI profile type: Publication
full work available at URL: j.jde.2011.12.009
OpenAlex ID: W1992412156
cites work: Dual variational methods in critical point theory and applications
cites work: Remarks on the Schrödinger operator with singular complex potentials
cites work: Morse index of some min-max critical points. I. Application to multiplicity results
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: Existence theorem for a class of semilinear totally characteristic elliptic equations with critical cone Sobolev exponents
cites work: Q3152408
cites work: BoundedH∞-Calculus for Differential Operators on Conic Manifolds with Boundary
cites work: Realizations of differential operators on conic manifolds with boundary
cites work: Concentration estimates and multiple solutions to elliptic problems at critical growth
cites work: Edge Sobolev spaces and weakly hyperbolic equations
cites work: Q4399897
cites work: Q3847203
cites work: Q5544635
cites work: Elliptic theory of differential edge operators I
cites work: Analytic \(K\)-theory on manifolds with corners
cites work: Semi-linear sub-elliptic equations on the Heisenberg group with a singular potential
cites work: Q3749777
cites work: On the Brézis-Nirenberg problem
cites work: Ellipticity and invertibility in the cone algebra on \(L_p\)-Sobolev spaces
cites work: Q4382670
cites work: Q2722314
cites work: A note on compactness-type properties with respect to Lorentz norms of bounded subsets of a Sobolev space
DOI: 10.1016/J.JDE.2011.12.009
description: scientific article; zbMATH DE number 6017656