Existence and Location of Nodal Solutions for Quasilinear Convection–Absorption Neumann Problems
Bulletin of the Malaysian Mathematical Sciences Society（2024）
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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Key words
Natural growth,Convection–absorption problem,Perturbation,Sub-supersolutions,Neumann boundary conditions,Monotone operator theory
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