Least energy solutions to the Dirichlet problem for the equation −Δu=f(x,u)

DOI10.1080/17476933.2017.1307346zbMath1444.35038OpenAlexW2668660442MaRDI QIDQ5374192

Valeria Iiritano, Francesco Tulone

Publication date: 9 April 2018

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2017.1307346

zbMATH Keywords

weak solutionvariational methodselliptic problemsnodal solutionNehari manifoldsublinear nonlinearityleast energy

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Unnamed Item
• On the asymptotics of solutions of the Lane-Emden problem for the \(p\)-Laplacian
• Nodal solutions of a perturbed elliptic problem
• A sign-changing solution for a superlinear Dirichlet problem
• Elliptic partial differential equations of second order
• A strong maximum principle for some quasilinear elliptic equations
• Boundary regularity for solutions of degenerate elliptic equations
• Positive solutions for singular nonlinear elliptic equations

This page was built for publication: Least energy solutions to the Dirichlet problem for the equation −Δu=f(x,u)