scientific article; zbMATH DE number 7590058

zbMath1497.35330MaRDI QIDQ5866680

Prashanta Garain, Alexander Ukhlov

Publication date: 22 September 2022

Full work available at URL: http://www.rmi.ge/transactions/TRMI-volumes/176-2/v176(2)-5.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

eigenvalue problemCarnot groupssubelliptic operators

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on real and complex Lie groups (22E30) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Mixed local and nonlocal Dirichlet \((p, q)\)-eigenvalue problem

Cites Work

• Some isoperimetric inequalities for membrane frequencies and torsional rigidity
• Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
• Weighted Sobolev spaces and boundary behavior of solutions to degenerate hypoelliptic equations
• Sobolev spaces and hypoelliptic equations
• Solving an abstract nonlinear eigenvalue problem by the inverse iteration method
• The spectral estimates for the Neumann-Laplace operator in space domains
• Geometric inequalities in Carnot groups
• Hypoelliptic second order differential equations
• Linear and quasilinear elliptic equations
• An embedding theorem and the harnack inequality for nonlinear subelliptic equations
• Sobolev met Poincaré
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Regularity at the boundary for solutions of nonlinear subelliptic equations
• Estimates of Dirichlet eigenvalues for a class of sub‐elliptic operators
• Universal Bounds for the Low Eigenvalues of Neumann Laplacians inNDimensions
• Subelliptic variational problems
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item