Existence of singular solutions for a Dirichlet problem containing a Dirac mass

DOI10.1016/J.NA.2011.01.005zbMath1214.35022OpenAlexW1987631642MaRDI QIDQ531674

Cecilia S. Yarur, García-Huidobro, Marta

Publication date: 19 April 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.01.005

zbMATH Keywords

existencesingular solutionsDirac masssemilinear elliptic Dirichlet problem

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Boundary value problems for second-order elliptic systems (35J57)

Related Items (1)

Isolated singularities of polyharmonic operator in even dimension

Cites Work

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• Nonlinear elliptic equations with measures revisited
• A sharp existence result for a Dirichlet mixed problem: the superlinear case
• Semilinear elliptic equations and systems with measure data: existence and a priori estimates.

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