A note on nonradial nodal solutions to the Henon problem in the disc

DOI10.1512/iumj.2022.71.8904zbMath1496.35205arXiv2001.10850OpenAlexW4285055429MaRDI QIDQ5075678

Francesca Gladiali, Giovanni Stegel

Publication date: 11 May 2022

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.10850

zbMATH Keywords

Hénon problemexistence of quasiradial solutions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Cites Work

• Nodal domains and spectral minimal partitions
• A sign-changing solution for a superlinear Dirichlet problem
• A note on additional properties of sign changing solutions to superlinear elliptic equations
• Qualitative properties of nodal solutions of semilinear elliptic equations in radially symmetric domains
• Quasi-radial solutions for the Lane-Emden problem in the ball
• The Hénon problem with large exponent in the disc
• Nonradial solutions for the Hénon equation in \(\mathbb R^N\)
• Lane Emden problems with large exponents and singular Liouville equations
• Henon type equations and concentration on spheres
• Morse index of radial nodal solutions of Hénon type equations in dimension two
• Symmetry breaking and Morse index of solutions of nonlinear elliptic problems in the plane
• On a Two-Dimensional Elliptic Problem with Large Exponent in Nonlinearity
• A monotonicity result under symmetry and Morse index constraints in the plane
• On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s: II
• On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations

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