Positive solutions of a nonlinear elliptic equation in \(\{x\in {\mathbb R}^2: |x|>1\}\)

DOI10.1023/A:1012684223602zbMath0989.31001OpenAlexW68402227MaRDI QIDQ5959346

Lamia Maatoug

Publication date: 26 March 2002

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

Full work available at URL: https://doi.org/10.1023/a:1012684223602

zbMATH Keywords

semilinear elliptic equationGreen functionKato class

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Other generalizations (nonlinear potential theory, etc.) (31C45) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (4)

ESTIMATES ON THE GREEN FUNCTION AND EXISTENCE OF POSITIVE SOLUTIONS FOR SOME NONLINEAR POLYHARMONIC PROBLEMS OUTSIDE THE UNIT BALL ⋮ On the existence of positive solutions for some nonlinear elliptic problems in unbounded domain in \(\mathbb R^2\) ⋮ Global existence and asymptotic behavior of solutions for nonlinear parabolic equations on unbounded domains ⋮ Positive solutions of semilinear problems in an exterior domain of \(\mathbb{R}^2\)

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