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The principle branch of solutions of a nonlinear elliptic eigenvalue problem on \(\mathbb{R}^ N\)

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Publication:1906163
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DOI10.1006/jdeq.1996.0010zbMath0842.35029OpenAlexW2031816290MaRDI QIDQ1906163

Allan L. Edelson, Charles A. Stuart

Publication date: 29 July 1996

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

Full work available at URL: https://doi.org/10.1006/jdeq.1996.0010


zbMATH Keywords

critical valuesupersolutionsunique solutionprincipal branch


Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60)


Related Items (6)

Asymptotic bifurcation and second order elliptic equations on \(\mathbb{R}^N\) ⋮ Spectral theory approach for a class of radial indefinite variational problems ⋮ Multiple positive solutions of saturable nonlinear Schrödinger equations with intensity functions ⋮ An abstract linking theorem applied to indefinite problems via spectral properties ⋮ The branch of positive solutions to a semilinear elliptic equation on \(\mathbb{R}^N\) ⋮ Application of elliptic regularity to bifurcation in stationary nonlinear Schrödinger equations







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