Exact behavior of positive solutions to elliptic equations with multi-singular inverse square potentials

DOI10.3934/dcds.2016112zbMath1354.35046OpenAlexW2535751961MaRDI QIDQ727429

Lei Wei, Xi-you Cheng, Zhao-sheng Feng

Publication date: 6 December 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016112

zbMATH Keywords

uniquenesselliptic equationssubsolutionsupersolutionHardy potentialmulti-singular points

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Positive solutions to PDEs (35B09)

Related Items

Ground state solutions for the fractional problems with dipole-type potential and critical exponent ⋮ Asymptotic behaviors of solutions to quasilinear elliptic equation with Hardy potential and critical Sobolev exponent ⋮ A multiplicity result to Schr\"{o}dinger Equation with singular points ⋮ Uniqueness and asymptotic behavior of positive solution of quasilinear elliptic equations with Hardy potential ⋮ Existence and asymptotic behavior of ground state solutions for asymptotically linear Schrödinger equation with inverse square potential ⋮ Uniqueness and local properties of positive solutions to a semilinear elliptic equation with singular potentials ⋮ Existence and multiplicity of nontrivial solutions for a semilinear biharmonic equation with weight functions

Cites Work

• Unnamed Item
• Unnamed Item
• Isolated singularity for semilinear elliptic equations
• The degenerate logistic model and a singularly mixed boundary blow-up problem
• Isolated singularities for weighted quasilinear elliptic equations
• Existence and uniqueness results for large solutions of general nonlinear elliptic equations
• Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity
• Solutions to critical elliptic equations with multi-singular inverse square potentials
• LOGISTIC TYPE EQUATIONS ON ℝ^N BY A SQUEEZING METHOD INVOLVING BOUNDARY BLOW-UP SOLUTIONS
• Boundary behavior of positive solutions to nonlinear elliptic equations with Hardy potential

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