Minimal Nodal Domains for Strictly Elliptic Partial Differential Equations with Homogeneous Boundary Conditions
This work presents a proof of the dependence of the first eigenvalue for uniformly elliptic partial differential equations on the domain in a less abstract setting than that of Ivo Babushka and Rudolf Vyborny in 1965. The proof contained here, under rather mild conditions on the boundary of the doma...
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| Format: | Others |
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DigitalCommons@USU
2006
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| Online Access: | https://digitalcommons.usu.edu/etd/7142 https://digitalcommons.usu.edu/cgi/viewcontent.cgi?article=8253&context=etd |