Positive solutions of logistic equations with dependence on gradient and nonhomogeneous Kirchhoff term

DOI10.1016/j.jmaa.2016.06.020zbMath1351.35063OpenAlexW2435460452MaRDI QIDQ530310

Bui The Quan, Nguyen Bich Huy

Publication date: 29 July 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.06.020

zbMATH Keywords

positive solutionfixed point indexlogistic equationcone theoretic argumentnon-homogeneous Kirchhoff term

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (9)

Infinite number of solutions for some elliptic eigenvalue problems of Kirchhoff-type with non-homogeneous material ⋮ Unnamed Item ⋮ Existence of solution for a class of nonvariational Kirchhoff type problem via dynamical methods ⋮ Existence of weak solution for \(p\)-Kirchoff type problem via topological degree ⋮ \(p(x)\)-Kirchhoff-type problem with no-flux boundary conditions and convection ⋮ Twin positive solutions for Schrödinger-Kirchhoff-type problem with singularity and critical exponents ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An existence result for a class of Kirchhoff type systems via dynamical methods

Cites Work

• Unnamed Item
• Unnamed Item
• Multiple positive solutions for Kirchhoff type of problems with singularity and critical exponents
• Nonlinear perturbations of a periodic Kirchhoff equation in \(\mathbb R^N\)
• On the structure of unbounded positive solutions to the quasilinear logistic equation
• Existence of a positive solution to Kirchhoff-type problems without compactness conditions
• Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
• Study of a nonlinear Kirchhoff equation with non-homogeneous material
• Sign-changing solutions of a class of nonlocal quasilinear elliptic boundary value problems
• Positive solutions for generalized nonlinear logistic equations of superdiffusive type
• Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
• Vibrations of elastic string with nonhomogeneous material
• Stationary profiles of degenerate problems with inhomogeneous saturation values
• A multiplicity result for the \(p\)-Laplacian involving a parameter
• Handbook of applied analysis
• Existence and multiplicity results for the \(p\)-Laplacian with a \(p\)-gradient term
• Some properties of higher order Sobolev spaces
• Nonnegative solutions for the degenerate logistic indefinite sublinear equation
• Multiple solutions for a class of Kirchhoff type problems with concave nonlinearity
• On a Schrödinger-Kirchhoff-type equation involving the \(p(x)\)-Laplacian
• On a quasilinear Schrödinger-Kirchhoff-type equation with radial potentials
• Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
• Resonance problems for Kirchhoff type equations
• A strong maximum principle for some quasilinear elliptic equations
• Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior
• Existence and multiplicity results for degenerate elliptic equations with dependence on the gradient
• Existence and multiplicity results for a degenerate elliptic equation
• Boundary regularity for solutions of degenerate elliptic equations
• A sub-supersolution approach for a quasilinear Kirchhoff equation
• Existence and uniqueness of positive solution of a logistic equation with nonlinear gradient term
• Existence and uniqueness of positive solutions for some quasilinear elliptic problems
• Multiplicity results for a degenerate elliptic equation with logistic reaction

This page was built for publication: Positive solutions of logistic equations with dependence on gradient and nonhomogeneous Kirchhoff term