Qualitative properties of a non-linear system involving thep-Laplacian operator and a De Giorgi type result

DOI10.1080/00036811.2014.899355zbMath1317.35064OpenAlexW1966525769WikidataQ58275561 ScholiaQ58275561MaRDI QIDQ4982039

Francoise Demengel

Publication date: 23 March 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.899355

zbMATH Keywords

systems\(p\)-LaplacianDe Giorgi type results

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods for elliptic systems (35J50) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (1)

Monotonicity and rigidity of solutions to some elliptic systems with uniform limits

Cites Work

• Unnamed Item
• De Giorgi type results for elliptic systems
• Geometric inequalities and symmetry results for elliptic systems
• On entire solutions of an elliptic system modeling phase separations
• On De Giorgi's conjecture in dimension \(N\geq 9\)
• Regularity, monotonicity and symmetry of positive solutions of \(m\)-Laplace equations
• Harnack inequalities, maximum and comparison principles, and regularity of positive solutions of \(m\)-Laplace equations
• On a conjecture of De Giorgi and some related problems
• One-dimensional symmetry of bounded entire solutions of some elliptic equations
• Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates
• On phase-separation models: asymptotics and qualitative properties
• A strong maximum principle for some quasilinear elliptic equations
• Regularity of flat level sets in phase transitions
• Asymptotic estimates for the spatial segregation of competitive systems
• $1$D symmetry for solutions of semilinear and quasilinear elliptic equations
• Uniform Hölder Bounds for Nonlinear Schrödinger Systems with Strong Competition
• Symmetry of global solutions to a class of fully nonlinear elliptic equations in 2D
• Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi
• Qualitative Properties of Solutions of m-Laplace Systems
• On the method of moving planes and the sliding method
• Asymptotic behaviour of solutions of planar elliptic systems with strong competition

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