Isolated singularities of polyharmonic operator in even dimension

DOI10.1080/17476933.2015.1055735zbMath1333.35044arXiv1501.01793OpenAlexW1921911920MaRDI QIDQ3466931

Abhishek Sarkar, R. Dhanya

Publication date: 25 January 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01793

zbMATH Keywords

existence of solutionssingularityelliptic systempolyharmonic operator

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Semilinear elliptic equations (35J61) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

• Existence of singular solutions for a Dirichlet problem containing a Dirac mass
• Isolated singularities of polyharmonic inequalities
• Isolated singularities of positive solutions of a superlinear biharmonic equation
• Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
• Semilinear elliptic equations and systems with diffuse measures
• Concentration-compactness phenomena in the higher order Liouville's equation
• Isolated singularities in semilinear problems
• Mean value formulas, Weyl's lemma and Liouville theorems for \(\Delta^ 2\) and Stokes' system
• A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
• ON THE GROWTH OF SUPERHARMONIC FUNCTIONS NEAR AN ISOLATED SINGULARITY. II
• Isolated singularities for the exponential type semilinear elliptic equation in ℝ²
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions

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