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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 248: Real Analysis Seminar
Dr. Alfonso Castro
Harvey Mudd College (castro@g.hmc.edu)
Critical point theory and the existence of seven solutions for a semilinear elliptic boundary value problem
Abstract:
Aiming to understand the solvability of semilinear elliptic boundary values problems in bounded domains, we will review the best known techniques for establishing the existence of critical points of functionals whose critical points are solutions to such problems. The mountain pass lemma, the Nehari manifold,
the Morse index, and bifurcation analysis will be discussed to conclude the existence of seven solutions for an asymptotically linear elliptic problem.
John N. Treuer
December 12, 2024
4:00 PM
APM 7321
Research Areas
Differential Equations****************************
