On the profile of sign-changing solutions of an almost critical problem in the ball

DOI10.1112/blms/bdt061zbMath1281.35044arXiv1208.5903OpenAlexW3104042771MaRDI QIDQ2865919

Teresa D'Aprile, Angela Pistoia, Thomas J. Bartsch

Publication date: 11 December 2013

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.5903

zbMATH Keywords

unit ballsign-changing solutionssubcritical problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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Entire nodal solutions to the pure critical exponent problem arising from concentration ⋮ Concentration with a single sign-changing layer at the higher critical exponents ⋮ Global bifurcation for the Hénon problem ⋮ Nonlinear Schrödinger equations near an infinite well potential ⋮ Multi-bubble nodal solutions for slightly subcritical elliptic problems in domains with symmetries ⋮ Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms ⋮ Nodal blow-up solutions to slightly subcritical elliptic problems with Hardy-critical term ⋮ Multi-bubble nodal solutions to slightly subcritical elliptic problems with Hardy terms in symmetric domains ⋮ A new type of nodal solutions to singularly perturbed elliptic equations with supercritical growth

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