Infinitely many turning points for some supercritical problems

DOI10.1007/BF02505896zbMath1030.35073OpenAlexW2080337238MaRDI QIDQ1408579

E. Norman Dancer

Publication date: 24 September 2003

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02505896

zbMATH Keywords

bifurcationelliptic equationssupercritical problemsbranch of positive solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Bifurcations in context of PDEs (35B32)

Related Items (18)

The Emden-Fowler equation on a spherical cap of \(\mathbb{S}^n\) ⋮ Singular extremal solutions for supercritical elliptic equations in a ball ⋮ Supercritical finite Morse index solutions ⋮ Unnamed Item ⋮ Stable and finite Morse index solutions on 𝐑ⁿ or on bounded domains with small diffusion ⋮ Multiplicity for a strongly singular quasilinear problem via bifurcation theory ⋮ Structure of solutions set of nonlinear eigenvalue problems ⋮ Uniform boundedness for finite Morse index solutions to supercritical semilinear elliptic equations ⋮ Finite Morse index solutions of supercritical problems ⋮ A fourth order elliptic equation with a singular nonlinearity ⋮ Finite Morse index solutions of exponential problems ⋮ Analytic global bifurcation and infinite turning points for very singular problems ⋮ On the classification of solutions of -Δ𝑢=𝑒^{𝑢} on ℝ^{ℕ}: Stability outside a compact set and applications ⋮ On the structure of positive solutions to an elliptic problem with a singular nonlinearity ⋮ Global solution branch and Morse index estimates of a semilinear elliptic equation with super-critical exponent ⋮ Isolated singularities for the exponential type semilinear elliptic equation in ℝ² ⋮ Radial single point rupture solutions for a general MEMS model ⋮ Classification of bifurcation diagrams for elliptic equations with exponential growth in a ball

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