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Regular Solutions To Elliptic Equations, Alfonso Castro, Jon T. Jacobsen
Regular Solutions To Elliptic Equations, Alfonso Castro, Jon T. Jacobsen
All HMC Faculty Publications and Research
A review of results and techniques on the existence of regular radial solutions to second order elliptic boundary value problems driven by linear and quasilinear operators is presented. Of particular interest are results where the solvability of a given elliptic problem can be analyzed by the relationship between the spectrum of the operator and the behavior of the nonlinearity near infinity and at zero. Energy arguments and Pohozaev type identities are used extensively in that analysis. An appendix with a proof of the contraction mapping principle best suited for using continuous dependence to ordinary differential equations on initial conditions is …
Stable Trace Ideals And Applications, Haydee Lindo, Hai Long Dao
Stable Trace Ideals And Applications, Haydee Lindo, Hai Long Dao
All HMC Faculty Publications and Research
We study stable trace ideals in one dimensional local Cohen–Macaulay rings and give numerous applications.