Combining local and nonlocal terms in a nonlinear elliptic problem

DOI10.1002/mma.1592zbMath1237.35050OpenAlexW2057282245MaRDI QIDQ2882437

Antonio Suárez, Francisco Julio Sobreira de Araujo Correa

Publication date: 4 May 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/handle/11441/43160

zbMATH Keywords

a priori boundsnonlocal elliptic equationsbifurcation techniques

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Nonlinear elliptic equations (35J60) Bifurcations in context of PDEs (35B32) Positive solutions to PDEs (35B09)

Related Items (3)

The sub-supersolution method for a nonhomogeneous elliptic equation involving Lebesgue generalized spaces ⋮ Bifurcation results of positive solutions for an elliptic equation with nonlocal terms ⋮ A sub-supersolution method for a class of nonlocal problems involving the \(p(x)\)-Laplacian operator and applications

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• On the linearization of some singular, nonlinear elliptic problems and applications
• Some global results for nonlinear eigenvalue problems
• Bifurcation from simple eigenvalues
• A priori bounds for positive solutions of nonlinear elliptic equations
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Stability of stationary solutions of nonlocal reaction-diffusion equations in \(m\)-dimensional space.

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