On a variant of the maximum principle involving radial $p$-Laplacian with applications to~nonlinear eigenvalue problems and nonexistence results
Słowa kluczowe
Primary, 35B50, Secondary, 33C45, 35J15, 34C11Abstrakt
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.Pobrania
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2009-09-01
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ADAMOWICZ, Tomasz & KAŁAMAJSKA, Agnieszka. On a variant of the maximum principle involving radial $p$-Laplacian with applications to~nonlinear eigenvalue problems and nonexistence results. Topological Methods in Nonlinear Analysis [online]. 1 wrzesień 2009, T. 36, nr 1, s. 1–20. [udostępniono 17.7.2024].
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