Global multiplicity of positive solutions for a sublinear elliptic equation in \(\mathbb{R}^N\)

DOI10.1016/j.jde.2024.09.052MaRDI QIDQ6652135

Jefferson Abrantes, Min-Bo Yang, Pedro Ubilla, Jiazheng Zhou

Publication date: 12 December 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

existencevariational methodsnon-existencesemilinear equation with Laplacian

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

• Unnamed Item
• Unnamed Item
• \(\mathcal{D}^{1,2}(\mathbb{R}^N)\) versus \(C(\mathbb{R}^N)\) local minimizer and a Hopf-type maximum principle
• Critical points in open sublevels and multiple solutions for parameter-depending quasilinear elliptic equations
• The weak supersolution-subsolution method for second order quasilinear elliptic equations
• Sublinear elliptic equations in \(\mathbb{R}{}^ n\)
• Existence and uniqueness of positive solutions to a semilinear elliptic problem in \(\mathbb{R}^N\)
• Combined effects of concave and convex nonlinearities in some elliptic problems
• \(W^{1,p}\) versus \(C^1\) local minimizers and multiplicity results for quasilinear elliptic equations.
• Global multiplicity of solutions for a quasilinear elliptic equation with concave and convex nonlinearities
• Dual variational methods in critical point theory and applications
• On semilinear elliptic equations involving concave--convex nonlinearities and sign-changing weight function
• Multiple solutions of sublinear Lane-Emden elliptic equations
• Entire solutions of sublinear elliptic equations in anisotropic media
• A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
• A deformation lemma and some critical point theorems
• Remarks on sublinear elliptic equations
• Linear and semilikear eigenvalue problems in Rⁿ
• Positive solutions of sublinear elliptic boundary value problems
• A nonsmooth variational approach to semipositone quasilinear problems in \(\mathbb{R}^N\)

This page was built for publication: Global multiplicity of positive solutions for a sublinear elliptic equation in \(\mathbb{R}^N\)