On the existence of radial solutions of quasilinear elliptic equations
- 1 August 1990
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 3 (3) , 677-694
- https://doi.org/10.1088/0951-7715/3/3/008
Abstract
The authors give a method for proving the existence of (positive) radial solutions of quasi-linear elliptic equations taking into account the variation of lower-order terms. They find solutions of equations having oscillating nonlinearities under less restrictive conditions than those needed for variational or topological methods. They exhibit simple variational problems having a continuum of solutions. They also obtain invariant regions in C1 for related parabolic problems.Keywords
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