6533b872fe1ef96bd12d38e0

RESEARCH PRODUCT

A Sub-Supersolution Approach for Robin Boundary Value Problems with Full Gradient Dependence

Dumitru MotreanuElisabetta TornatoreAngela Sciammetta

subject

sub-supersolutionConvectionlcsh:MathematicsGeneral Mathematics010102 general mathematicsMathematics::Analysis of PDEsInterval (mathematics)Robin boundary conditionType (model theory)lcsh:QA1-93901 natural sciencesRobin boundary conditionTerm (time)010101 applied mathematicsNonlinear systemnonlinear elliptic problemSettore MAT/05 - Analisi Matematicapositive solutiongradient dependenceComputer Science (miscellaneous)Applied mathematicsBoundary value problem0101 mathematicsEngineering (miscellaneous)Mathematics

description

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.

yearjournalcountryeditionlanguage
2020-04-01Mathematics
https://doi.org/10.3390/math8050658