Concentration of solutions for a singularly perturbed mixed problem in non-smooth domains

DOI10.1016/j.jde.2012.08.017zbMath1255.35026arXiv1202.0975OpenAlexW2059823969MaRDI QIDQ1759790

Serena Dipierro

Publication date: 22 November 2012

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

Full work available at URL: https://arxiv.org/abs/1202.0975

zbMATH Keywords

mixed boundary conditionslocal inversionfinite-dimensional reductionsspike-layers

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Resonance in context of PDEs (35B34) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

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On existence and concentration of solutions for an elliptic problem with discontinuous nonlinearity via penalization method ⋮ Condensation phenomena of a least-energy solution to semilinear Neumann problems on piecewise smooth domains ⋮ Symmetry results for stable and monotone solutions to fibered systems of PDEs

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