Positive solutions and bifurcation phenomena for nonlinear elliptic equations of logistic type: the superdiffusive case

DOI10.3934/cpaa.2010.9.1507zbMath1205.35134OpenAlexW2332269658MaRDI QIDQ618972

Nikolaos S. Papageorgiou, Donal O'Regan, Michael E. Filippakis

Publication date: 17 January 2011

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2010.9.1507

zbMATH Keywords

comparison principle mountain pass theorem truncation techniques \(p\)-Laplacian upper-lower solutions superdiffusive reaction linking sets

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Bifurcations in context of PDEs (35B32) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92) Comparison principles in context of PDEs (35B51)

Related Items (14)

Existence and multiplicity of positive solutions to quasilinear elliptic equations with two parameters ⋮ Positive solutions of generalized nonlinear logistic equations via sub-super solutions ⋮ Positive solutions for Robin problems with general potential and logistic reaction ⋮ On a Parametric Nonlinear Dirichlet Problem with Subdiffusive and Equidiffusive Reaction ⋮ Existence, nonexistence and multiplicity of positive solutions for nonlinear, nonhomogeneous Neumann problems ⋮ Positive solutions for the Neumann \(p\)-Laplacian with superdiffusive reaction ⋮ Bifurcation near infinity for the Robin \(p\)-Laplacian ⋮ Double-phase problems with reaction of arbitrary growth ⋮ On generalized logistic equations with a non-homogeneous differential operator ⋮ Positive solutions for nonlinear nonhomogeneous Neumann equations of superdiffusive type ⋮ Anisotropic Robin problems with logistic reaction ⋮ Infinitely many nodal solutions for generalized logistic equations without odd symmetry on reaction ⋮ On a Robin (p,q)-equation with a logistic reaction ⋮ Double phase logistic equations with superdiffusive reaction

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