Existence of positive radial solutions for a problem involving the weighted Heisenberg $ p(\cdot) $-Laplacian operator
Maria Alessandra Ragusa, A. Razani, F. Safari
Abstract
<abstract><p>A variational principle is applied to examine a Muckenhoupt weighted $ p(\cdot) $-Laplacian equation on the Heisenberg groups. The existence of at least one positive radial solution to the problem under the Dirichlet boundary condition belongs to the first order Heisenberg-Sobolev spaces is proved.</p></abstract>
Topics & Concepts
Sobolev spaceMathematicsHeisenberg groupp-LaplacianLaplace operatorDirichlet problemOperator (biology)Order (exchange)Dirichlet boundary conditionMathematical analysisMountain pass theoremMathematical physicsBoundary value problemPure mathematicsPhysicsQuantum mechanicsNonlinear systemChemistryEconomicsGeneTranscription factorRepressorFinanceBiochemistryNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringSpectral Theory in Mathematical Physics