Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold

DOI10.1007/s00526-014-0802-1zbMath1326.35111arXiv1401.6204OpenAlexW2059159864MaRDI QIDQ493205

Frédéric Robert, Jérôme Vétois

Publication date: 11 September 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.6204

zbMATH Keywords

analyticitysign-changing solutionsblowing-up solutionsBianchi-Egnell type conditionelliptic second order equationsglueing

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Variational methods for second-order elliptic equations (35J20) Blow-up in context of PDEs (35B44)

Related Items (9)

Bubble-tower solutions to asymptotically critical nonlocal elliptic equations on conformal infinities ⋮ Multiplicity of nodal solutions to the Yamabe problem ⋮ Desingularization of Clifford torus and nonradial solutions to the Yamabe problem with maximal rank ⋮ Compactness of sign-changing solutions to scalar curvature-type equations with bounded negative part ⋮ A pointwise finite-dimensional reduction method for a fully coupled system of Einstein–Lichnerowicz type ⋮ Nondegeneracy of nodal solutions to the critical Yamabe problem ⋮ Stability and instability results for sign-changing solutions to second-order critical elliptic equations ⋮ New Type of Sign-Changing Blow-up Solutions for Scalar Curvature Type Equations ⋮ Sign-changing blow-up for the Yamabe equation at the lowest energy level

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