Nodal solutions of nonlinear elliptic Dirichlet problems on radial domains

DOI10.4171/RLM/454zbMath1126.35024OpenAlexW2031595919MaRDI QIDQ2504829

Marco Degiovanni, Thomas J. Bartsch

Publication date: 1 February 2007

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=17&iss=1&rank=5

zbMATH Keywords

Dirichlet problemsFučik spectrumNodal solutionsweighted asymmetric eigenvalue problems

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (6)

On the strict monotonicity of the first eigenvalue of the 𝑝-Laplacian on annuli ⋮ On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s: II ⋮ Nonradial solutions of a nonhomogeneous semilinear elliptic problem with linear growth ⋮ Dancer-Fučik spectrum for fractional Schrödinger operators with a steep potential well on \(\mathbb{R}^N\) ⋮ On qualitative properties of solutions for elliptic problems with thep-Laplacian through domain perturbations ⋮ Morse index computation for radial solutions of the Hénon problem in the disk

Cites Work

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• 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
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• Metric critical point theory. I: Morse regularity and homotopic stability of a minimum
• Existence of changing sign solutions for some semilinear problems with jumping nonlinearities at zero
• A General Chain Rule for Derivatives and the Change of Variables Formula for the Lebesgue Integral

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