Quasilinear equations with dependence on the gradient

DOI10.1016/J.NA.2009.03.061zbMath1178.34027OpenAlexW2023252440MaRDI QIDQ838098

Pedro Ubilla, Justino Sánchez, Djairo Guedes de Figueiredo

Publication date: 21 August 2009

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.2009.03.061

zbMATH Keywords

fixed pointspositive radial solutionsannular domainsBernstein-Nagumo condition

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear elliptic equations (35J60) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (10)

On the solvability of the Dirichlet problem for anisotropic parabolic equations in non-convex domains ⋮ Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains ⋮ Sign-changing solutions for semilinear elliptic equations with dependence on the gradient via the Nehari method ⋮ On the existence of radially symmetric solutions for the \(p \)-Laplace equation with strong gradient nonlinearities ⋮ Influence of Gradient Terms on the Existence of Solutions to the Dirichlet Problem for p-Laplacian ⋮ Semipositone nonlocal Neumann elliptic system depending on the gradient in exterior domains ⋮ Existence of positive solutions for the \(p\)-Laplacian with \(p\)-gradient term ⋮ Existence of solutions of semilinear systems with gradient dependence via eigenvalue criteria ⋮ Semilinear elliptic systems with dependence on the gradient ⋮ Radially Symmetric Solutions of the p-Laplace Equation with Gradient Terms

Cites Work

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• Solvability of some singular boundary value problems for the equation
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Some General Existence Principles and Results for $(\phi (y')) = qf(t,y,y'),0 < t < 1$

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