On radially symmetric solutions of the equation \(-\Delta u+u=| u|^{p-1}u\). An ODE approach

DOI10.1007/S11587-011-0119-8zbMath1308.34036OpenAlexW2090086627MaRDI QIDQ473261

Peter E. Zhidkov

Publication date: 24 November 2014

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-011-0119-8

zbMATH Keywords

existencepower nonlinearityradially symmetric solutionsuperlinear elliptic equationsingular ordinary differential equationsolution with a given number of zeros

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Semilinear elliptic equations (35J61)

Related Items (1)

Uniqueness of sign-changing radial solutions for \(\Delta u-u+| u|^{p-1}u=0\) in some ball and annulus

Cites Work

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