Existence and location of nodal solutions for quasilinear convection-absorption Neumann problems
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Publication:6196818
DOI10.1007/S40840-024-01669-5arXiv2304.00647OpenAlexW4392563337MaRDI QIDQ6196818
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Publication date: 15 March 2024
Published in: (Search for Journal in Brave)
Abstract: Existence of nodal (i.e., sign changing) solutions and constant sign solutions for quasilinear elliptic equations involving convection-absorption terms are presented. A location principle for nodal solutions is obtained by means of constant sign solutions whose existence is also derived. The proof is chiefly based on sub-supersolutions technique together with monotone operator theory.
Full work available at URL: https://arxiv.org/abs/2304.00647
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