Ground states for the prescribed mean curvature equation

Author:

Peletier L. A.,Serrin J.

Abstract

We discuss the existence of radial ground states of problem ( I ) ({\text {I}}) , under appropriate restrictions on the bifurcation parameter λ \lambda and the exponent q q .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference16 articles.

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3. An ODE approach to the existence of positive solutions for semilinear problems in 𝑅^{𝑁};Berestycki, H.;Indiana Univ. Math. J.,1981

4. P. Concus and R. Finn, A singular solution of the capillary equation. I, II, Invent. Math. 29 (1975), 143-148, 149-159.

5. T. K. Evers, Numerical search for ground state solutions of a modified capillary equation, M. Sc. Thesis, Dept. of Math., Iowa State Univ., 1985.

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