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arXiv · 2304.00647

Existence and location of nodal solutions for quasilinear convection-absorption Neumann problems

Abdelkrim Moussaoui·Kamel Saoudi
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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.

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Abdelkrim Moussaoui, Kamel Saoudi. 2023-04-02. Existence and location of nodal solutions for quasilinear convection-absorption Neumann problems. https://arxiv.org/abs/2304.00647

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