Existence of Heteroclinic Solutions for a Pseudo-relativistic Allen-Cahn Type Equation

DOI10.1515/ANS-2015-0207zbMath1326.35379OpenAlexW2513743301MaRDI QIDQ5499617

Vincenzo Ambrosio

Publication date: 30 July 2015

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2015-0207

zbMATH Keywords

Neumann problemAllen-Cahn equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) PDEs in connection with relativity and gravitational theory (35Q75) Variational methods for second-order elliptic equations (35J20) Fractional partial differential equations (35R11)

Related Items (5)

Nonlinear pseudo-differential equations defined by elliptic symbols on \(L^p(\mathbb{R}^n)\) and the fractional Laplacian ⋮ Heteroclinic connections and Dirichlet problems for a nonlocal functional of oscillation type ⋮ Ground states solutions for a non-linear equation involving a pseudo-relativistic Schrödinger operator ⋮ Existence of heteroclinic solutions for a class of problems involving the fractional Laplacian ⋮ Existence and nonexistence of solutions to nonlocal elliptic problems

Cites Work

• Variational problems with free boundaries for the fractional Laplacian
• Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result
• The Chandrasekhar theory of stellar collapse as the limit quantum mechanics
• The stability and instability of relativistic matter
• Dynamical collapse of white dwarfs in Hartree- and Hartree-Fock theory
• Blowup for nonlinear wave equations describing boson stars

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