Existence of positive solutions for a class of the p-Laplace equations

DOI10.1017/S0334270000010390zbMath0827.35044MaRDI QIDQ4842246

Yin Xi Huang

Publication date: 29 November 1995

Published in: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

spectral conditionsexistence of a unique positive solutionsub- supersolution technique

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary value problems for higher-order elliptic equations (35J40)

Related Items (16)

Positive solutions of certain elliptic equations involving critical Sobolev exponents ⋮ On sufficient conditions for the existence of radially symmetric solutions of the \(p\)-Laplace equation ⋮ On the existence of nonnegative solutions to the Dirichlet boundary value problem for the p-Laplace equation in the presence of exterior mass forces ⋮ A note on the asymptotic behavior of positive solutions for some elliptic equation ⋮ Existence of an unbounded branch of the set of solutions for Neumann problems involving the \(p(x)\)-Laplacian ⋮ Lower bounds for the first eigenvalues of the p-Laplacian and the weighted p-Laplacian ⋮ On the fundamental tone of the \(p\)-Laplacian on Riemannian manifolds and applications ⋮ Existence of radially symmetric solutions of the inhomogeneous \(p\)-Laplace equation ⋮ Positivity of the infimum eigenvalue for equations of \(p(x)\)-Laplace type in \(\mathbb R^N\) ⋮ A theorem of DoCarmo-Zhou type: oscillations and estimates for the first eigenvalue of the \(p\)-Laplacian ⋮ Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain ⋮ Existence of positive radial solutions for the \(n\)-dimensional \(p\)-Laplacian ⋮ The \(p\)-hyperbolicity of infinity volume ends and applications ⋮ Existence of positive solutions of variational inequalities by a subsolution-supersolution approach ⋮ Eigenvalue estimates for the \(p\)-Laplace operator on manifolds ⋮ Mountain pass type solutions and positivity of the infimum eigenvalue for quasilinear elliptic equations with variable exponents

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