Existence of multiple positive solutions of semilinear elliptic boundary value problems in the half space

DOI10.1016/j.na.2008.01.016zbMath1387.35235OpenAlexW2018143290MaRDI QIDQ2518125

Tsing-San Hsu, Huei-li Lin

Publication date: 13 January 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.01.016

zbMATH Keywords

boundary value problemsmultiple positive solutionshalf spacesemilinear elliptic

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items

On a boundary value problem in the half-space, Multiple positive solutions of semilinear elliptic boundary value problems in the half space

Cites Work

• Nonlinear scalar field equations. I: Existence of a ground state
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Remarks on the Schrödinger operator with singular complex potentials
• Dual variational methods in critical point theory and applications
• Positive solutions of innomogeneous elliptic boundary value problems in the half space
• Nonconvex minimization problems
• Existence of multiple positive solutions of inhomogeneous semilinear elliptic problems in unbounded domains
• Existence and non-existence results for semilinear elliptic problems in unbounded domains
• Existence and Multiplicity of Positive Solutions For a Class of Elliptic Boundary Value Problems in the Half-Space