Abstract
In this paper we deal with singular boundary value problems of the type
where \(\Omega \) is a open bounded set of \(\mathbb {R}^N\) with \(N>2\), a(x, t) is a Carathéodory function with polynomial growth with respect to t, b(x) is bounded and measurable, \(\theta \in (0,1)\) and f(x) belongs to \(L^{1}(\Omega )\). The main concern is to consider sign-changing solutions outside the energy space \(W_0^{1,2}(\Omega )\).
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Buccheri, S. Sign-changing solutions for elliptic problems with singular gradient terms and \(L^{1}(\Omega )\) data. Nonlinear Differ. Equ. Appl. 25, 34 (2018). https://doi.org/10.1007/s00030-018-0525-7
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DOI: https://doi.org/10.1007/s00030-018-0525-7