Asymptotically radial solutions in expanding annular domains

DOI10.1007/s00208-011-0646-3zbMath1276.35083OpenAlexW2009890987MaRDI QIDQ663220

Thomas J. Bartsch, Filomena Pacella, Mónica Clapp, Massimo Grossi

Publication date: 14 February 2012

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-011-0646-3

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items

Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions, Symmetry breaking of an elliptic equation in expanding annuli, Uniqueness of positive radial solutions of the Brezis-Nirenberg problem on thin annular domains on \(\mathbb{S}^n\) and symmetry breaking bifurcations, Supercritical problems via a fixed point argument on the cone of monotonic functions, Infinitely many non-radial solutions to a critical equation on annulus, Nonexistence and multiplicity of solutions to elliptic problems with supercritical exponents, Symmetry breaking bifurcation from solutions concentrating on the equator of \(\mathbb S^N\), Existence of positive radial solutions for nonlinear elliptic equations with gradient terms in an annulus, Exact Morse index of radial solutions for semilinear elliptic equations with critical exponent on annuli, Asymptotic transversality and symmetry breaking bifurcation from boundary concentrating solutions, Bifurcation and symmetry breaking for a class of semilinear elliptic equations in an annulus, Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods, Multiple sign-changing solutions for superlinear \((p,q)\)-equations in symmetrical expanding domains, Self-focusing multibump standing waves in expanding waveguides, Asymptotic behaviour of sign changing radial solutions of Lane Emden problems in the annulus, A computer-assisted existence proof for Emden's equation on an unbounded L-shaped domain, Nonradial solutions for the Hénon equation in \(\mathbb R^N\), Solutions of semilinear elliptic equations in tubes, Asymptotic behavior of positive solution in an annulus, Exact Morse index computation for nodal radial solutions of Lane-Emden problems, Semilinear elliptic equations with the pseudo-relativistic operator on a bounded domain, Multi-bump positive solutions for a nonlinear elliptic problem in expanding tubular domains, Morse indices and symmetry breaking for the Gelfand equation in expanding annuli, Radial and non-radial solutions to an elliptic problem on annular domains in Riemannian manifolds with radial symmetry, Least energy solutions of the Emden-Fowler equation in hollow thin symmetric domains, Multiple positive solutions of the Emden-Fowler equation in hollow thin symmetric domains, Existence of radial solutions for nonlinear elliptic equations with gradient terms in annular domains, Asymptotically radial solutions to an elliptic problem on expanding annular domains in Riemannian manifolds with radial symmetry, Non-degeneracy and local uniqueness of positive solutions to the Lane-Emden problem in dimension two, Morse index and uniqueness of positive solutions of the Lane-Emden problem in planar domains, Monotonicity of the Morse index of radial solutions of the Hénon equation in dimension two, Bubble Concentration on Spheres for Supercritical Elliptic Problems, Supercritical elliptic problems on nonradial domains via a nonsmooth variational approach

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