A mountain pass algorithm for quasilinear boundary value problem with \(p\)-Laplacian

DOI10.1016/j.matcom.2021.03.006OpenAlexW3138009654MaRDI QIDQ2666204

Michaela Bailová, Jiří Bouchala

Publication date: 22 November 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2021.03.006

zbMATH Keywords

mountain pass theorem\(p\)-Laplacian operatorminimax theoremquasilinear elliptic PDEcritical point and valuemountain pass type algorithm

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Related Items (1)

A new approach to solving a quasilinear boundary value problem with \(p\)-Laplacian using optimization.

Cites Work

• Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
• Constrained mountain pass algorithm for the numerical solution of semilinear elliptic problems
• Computing mountain passes and transition states
• Strong resonance for some quasilinear elliptic equations
• Dual variational methods in critical point theory and applications
• Preconditioned descent algorithms for \(p\)-Laplacian
• A mountain pass algorithm with projector
• A bisection algorithm for the numerical mountain pass
• A Minimax Method for Finding Multiple Critical Points and Its Applications to Semilinear PDEs
• A high-linking algorithm for sign-changing solutions of semilinear elliptic equations
• A mountain pass method for the numerical solution of semilinear elliptic problems
• ALGORITHMS AND VISUALIZATION FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS

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