On a variant of the maximum principle involving radial $p$-Laplacian with applications to~nonlinear eigenvalue problems and nonexistence results

Tomasz Adamowicz, Agnieszka Kałamajska

DOI: http://dx.doi.org/10.12775/TMNA.2009.026

Abstract


We obtain the variant of maximum principle for
radial solutions of $p$-harmonic equation
$-a\Delta_p(w)=\phi(w)$.
As a consequence of this result we prove
monotonicity of constant sign solutions, analyze the support
of the solutions and study their oscillations. The results are applied
to various type nonlinear eigenvalue problems and nonexistence theorems.

Keywords


Primary: 35B50; Secondary: 33C45; 35J15; 34C11

Full Text:

FULL TEXT

Refbacks

  • There are currently no refbacks.

Partnerzy platformy czasopism