Liouville type theorems for nonlinear elliptic equations involving operator in divergence form

DOI10.1063/1.4753979zbMath1282.35169OpenAlexW2035951921MaRDI QIDQ2872361

Mounir Hsini

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4753979

zbMATH Keywords

nonlinear elliptic equationsLiouville type boundedness

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

• Some properties of solutions of the Ginzburg-Landau equation on an open set of \(\mathbb{R}^ 2\)
• Symmetry and related properties via the maximum principle
• Regularity for a class of nonlinear elliptic systems
• Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\)
• Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
• Boundary blow-up solutions and their applications in quasilinear elliptic equations
• One-dimensional symmetry of bounded entire solutions of some elliptic equations
• Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.
• Index boundedness condition for mappings with bounded distortion
• Liouville type theorems for nonlinear elliptic equations on the whole space $\mathbb{R}^{N}$
• LOGISTIC TYPE EQUATIONS ON ℝ^N BY A SQUEEZING METHOD INVOLVING BOUNDARY BLOW-UP SOLUTIONS
• A gradient bound for entire solutions of quasi‐linear equations and its consequences

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