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We consider existence and uniqueness of solutions to elliptic problems set in open subsets of , bounded and unbounded. These problems are characterised by the presence of a linear higher order term and a nonlinear lower order term which may blow up where the solution is zero and which involves a distribution.
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Michel Chipot, Linda Maria De Cave, New techniques for solving some class of singular elliptic equations. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 29 (2018), no. 3, pp. 487–510DOI 10.4171/RLM/818