Deformation retracts to the fat diagonal and applications to the existence of peak solutions of nonlinear elliptic equations

DOI10.2140/pjm.2012.256.67zbMath1246.35074OpenAlexW2087941629MaRDI QIDQ433532

Angela Pistoia, Jonathan A. Hillman, E. Norman Dancer

Publication date: 5 July 2012

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

Full work available at URL: http://msp.berkeley.edu/pjm/2012/256-1/p04.xhtml

zbMATH Keywords

finite-dimensional reductionmultiple peaksfat diagonal

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)

Related Items (3)

Double- and single-layered sign-changing solutions to a singularly perturbed elliptic equation concentrating at a single sphere ⋮ SOLUTIONS WITH MULTIPLE ALTERNATE SIGN PEAKS ALONG A BOUNDARY GEODESIC TO A SEMILINEAR DIRICHLET PROBLEM ⋮ A new type of nodal solutions to singularly perturbed elliptic equations with supercritical growth

This page was built for publication: Deformation retracts to the fat diagonal and applications to the existence of peak solutions of nonlinear elliptic equations