Resonant solutions and turning points in an elliptic problem with oscillatory boundary conditions

DOI10.2140/pjm.2012.257.75zbMath1248.35016OpenAlexW2117088223MaRDI QIDQ442043

Alfonso Castro, Rosa Pardo San Gil

Publication date: 9 August 2012

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://msp.org/pjm/2012/257-1/p05.xhtml

zbMATH Keywords

stabilityinstabilitymultiplicitybifurcationturning pointsnonlinear boundary conditionsresonanceSteklov eigenvaluessublinear oscillating boundary conditions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Stability in context of PDEs (35B35) Nonlinear elliptic equations (35J60) Resonance in context of PDEs (35B34) Bifurcations in context of PDEs (35B32) Bifurcation theory for PDEs on manifolds (58J55)

Related Items (2)

Analysis of an elliptic system with infinitely many solutions ⋮ Asymptotic oscillations of global solution branches for nonlinear problems

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