A Sub-Supersolution Approach for Robin Boundary Value Problems with Full Gradient Dependence
Copyright policy )A Sub-Supersolution Approach for Robin Boundary Value Problems with Full Gradient Dependence
The paper investigates a nonlinear elliptic problem with a Robin boundary condition, which exhibits a convection term with full dependence on the solution and its gradient. A sub- supersolution approach is developed for this type of problems. The main result establishes the existence of a solution enclosed in the ordered interval formed by a sub-supersolution. The result is applied to find positive solutions.
- University of Palermo Italy
- University of Perpignan France
sub-supersolution, Gradient dependence, Robin boundary condition, Positive solution, nonlinear elliptic problem, Settore MAT/05 - Analisi Matematica, positive solution, gradient dependence, QA1-939, Nonlinear elliptic problem, Sub-supersolution, Mathematics
sub-supersolution, Gradient dependence, Robin boundary condition, Positive solution, nonlinear elliptic problem, Settore MAT/05 - Analisi Matematica, positive solution, gradient dependence, QA1-939, Nonlinear elliptic problem, Sub-supersolution, Mathematics
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