Ground state solutions to nonlinear equations with \(p\)-Laplacian

DOI10.1016/j.na.2019.01.032zbMath1426.34037OpenAlexW2913976182MaRDI QIDQ2312532

Serena Matucci, Zuzana Došlá

Publication date: 17 July 2019

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.2019.01.032

zbMATH Keywords

boundary value problemnonlinear elliptic equation\(p\)-Laplace operatorground state solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items

Positive solutions of BVPs on the half-line involving functional BCs, Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case

Cites Work

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• On a diffusion model with absorption and production
• Existence of a ground state solution for an elliptic problem with critical growth in an exterior domain
• A Dirichlet problem on the half-line for nonlinear equations with indefinite weight
• Existence of sign changing solutions for an equation with a weighted \(p\)-Laplace operator
• Half-linear differential equations with oscillating coefficient
• Global Kneser solutions to nonlinear equations with indefinite weight
• Entire solutions of superlinear problems with indefinite weights and Hardy potentials
• High multiplicity and complexity of the bifurcation diagrams of large solutions for a class of superlinear indefinite problems
• Multiple positive solutions to elliptic boundary blow-up problems
• Ground state solution for a problem with mean curvature operator in Minkowski space
• On the continuation of solutions of a certain non-linear differential equation
• Positive decaying solutions to BVPs with mean curvature operator
• On continuity and compactness of some nonlinear operators associated with differential equations in noncompact intervals
• The Existence of Continuable Solutions of a Second Order Differential Equation
• Limiting behaviours of non-oscillatory solutions of a pair of coupled nonlinear differential equations
• On Continuability of Solutions of Second Order Differential Equations