Global bifurcation, Berestycki's conjecture and one-sign solutions for \(p\)-Laplacian

DOI10.1016/j.na.2013.06.003zbMath1286.35028OpenAlexW2054485348WikidataQ123362133 ScholiaQ123362133MaRDI QIDQ2434217

Guowei Dai, Ru Yun Ma

Publication date: 5 February 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2013.06.003

zbMATH Keywords

principal half-eigenvalues

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Bifurcations in context of PDEs (35B32) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (9)

Unilateral global interval bifurcation for problem with mean curvature operator in Minkowski space and its applications ⋮ Nodal solutions for problems with mean curvature operator in Minkowski space with nonlinearity jumping only at the origin ⋮ Unilateral global interval bifurcation for Kirchhoff type problems and its applications ⋮ Unilateral global interval bifurcation for the Hessian equation and its applications ⋮ Unilateral Global Bifurcation, Half-Linear Eigenvalues and Constant Sign Solutions for a Fractional Laplace Problem ⋮ Unnamed Item ⋮ Bifurcation and nodal solutions for the half-linear problems with nonasymptotic nonlinearity at \(0\) and \(\infty\) ⋮ Some bifurcation results and multiple solutions for the \(p\)-Laplacian equation ⋮ Unilateral global interval bifurcation theorem for periodic \(p\)-Laplacian and its applications

Cites Work

• Unnamed Item
• Unilateral global bifurcation phenomena and nodal solutions for \(p\)-Laplacian
• On the sub-supersolution method for \(p(x)\)-Laplacian equations
• Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
• Global bifurcation from the eigenvalues of the \(p\)-Laplacian
• On some nonlinear Sturm-Liouville problems
• Bifurcations of positive and negative continua in quasilinear elliptic eigenvalue problems
• Some global results for nonlinear eigenvalue problems
• Boundary regularity for solutions of degenerate elliptic equations
• A Picone's identity for the p-Laplacian and applications

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