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The range of the \(p\)-Laplacian

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Publication:1375849
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DOI10.1016/S0893-9659(97)00108-0zbMath0894.34013MaRDI QIDQ1375849

Pavel Drábek, Yin Xi Huang, Paul A. Binding

Publication date: 21 January 1998

Published in: Applied Mathematics Letters (Search for Journal in Brave)


zbMATH Keywords

\(p\)-LaplacianFredholm alternative


Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15)


Related Items (4)

Resonance problems for the \(p\)-Laplacian ⋮ On the Fredholm alternative for the \(p\)-Laplacian ⋮ The Fredholm alternative at the first eigenvalue for the one dimensional \(p\)-Laplacian ⋮ Periodic solutions for some phi-Laplacian and reflection equations



Cites Work

  • Spectral analysis of nonlinear operators
  • A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
  • Some mapping theorems
  • Multiparameter Sturm theory
  • The applications of sums of ranges of accretive operators to nonlinear equations involving the P-Laplacian operator
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