Solutions with spikes at the boundary for a 2D nonlinear Neumann problem with large exponent

DOI10.1016/j.jde.2009.02.001zbMath1173.35011OpenAlexW2000867351MaRDI QIDQ1016455

Hernán Castro

Publication date: 5 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.jde.2009.02.001

zbMATH Keywords

Green's functionnonlinear boundary conditionlinear equationfinite-dimensional reductionconcentrating solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Fundamental solutions to PDEs (35A08)

Related Items (8)

New solutions for critical Neumann problems in \(\mathbb{R}^{2}\) ⋮ Multiple blow-up solutions for an anisotropic 2-dimensional nonlinear Neumann problem ⋮ Mixed interior and boundary bubbling solutions for Neumann problem in \(\mathbb R^2\) ⋮ Bubbling solutions for an exponential nonlinearity in \(\mathbb{R}^2\) ⋮ Asymptotic behavior of least energy solutions for a 2D nonlinear Neumann problem with large exponent ⋮ Convergence for a planar elliptic problem with large exponent Neumann data ⋮ Boundary concentrating solutions for an anisotropic planar nonlinear Neumann problem with large exponent ⋮ Asymptotic estimates for the least energy solution of a planar semi-linear Neumann problem

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