Photo by raphmitten from unsplash
We deal with eigenvalue problems for the Laplacian with varying mixed boundary conditions, consisting in homogeneous Neumann conditions on a vanishing portion of the boundary and Dirichlet conditions on the… Click to show full abstract
We deal with eigenvalue problems for the Laplacian with varying mixed boundary conditions, consisting in homogeneous Neumann conditions on a vanishing portion of the boundary and Dirichlet conditions on the complement. By the study of an Almgren-type frequency function, we derive upper and lower bounds of the eigenvalue variation and sharp estimates in the case of a strictly star-shaped Neumann region.
Keywords:
mixed boundary;
boundary conditions;
eigenvalues laplacian;
case;
neumann region
Journal Title: Journal of Differential Equations
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Differential Equations
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!