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Positive solutions of nonlinear elliptic equations in unbounded domains in \(\mathbb{R}^2\)

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Publication:1398031
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DOI10.1023/A:1024055625428zbMath1022.31003MaRDI QIDQ1398031

Lamia Maatoug, Habib Maagli

Publication date: 6 August 2003

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


zbMATH Keywords

positive solutionnonlinear elliptic equationGreen function


Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)


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Positive solutions for some nonlinear elliptic systems in exterior domains of \(\mathbb R^2\), 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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