Bifurcation for positive solutions of nonlinear diffusive logistic equations in R^N with indefinite weight

DOI10.1512/IUMJ.2014.63.5369zbMath1309.35015OpenAlexW1984075129MaRDI QIDQ2940946

Dimitri Mugnai, Nikolaos S. Papageorgiou

Publication date: 21 January 2015

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/IUMJ/ABS/2014/5369

zbMATH Keywords

positive solutionindefinite weightHardy's inequalitynonlinear regularitybifurcation theoremdiffusive \(p\)-logistic equation

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Bifurcations in context of PDEs (35B32) Positive solutions to PDEs (35B09)

Related Items (7)

The Brezis-Oswald result for quasilinear Robin problems ⋮ A fractional eigenvalue problem in \(\mathbb{R}^N\) ⋮ Positive and nodal solutions for parametric nonlinear Robin problems with indefinite potential ⋮ On the logistic equation for the fractional p‐Laplacian ⋮ Fractional generalized logistic equations with indefinite weight: quantitative and geometric properties ⋮ Superlinear Neumann problems with the \(p\)-Laplacian plus an indefinite potential ⋮ Some existence and uniqueness results for logistic Choquard equations

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