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math.AP2022
On prescribed energy saddle-point solutions to indefinite problems
Yavdat Il'yasov, Edcarlos D. Silva, Maxwell L. Silva
A minimax variational principle for saddle-point solutions with prescribed energy levels is introduced. The approach is based on the development of the linking theorem to the energ…
math.AP2022
On periodic and compactly supported least energy solutions to semilinear elliptic equations with non-Lipschitz nonlinearity
Jacques Giacomoni, Yavdat Il'yasov, Deepak Kumar
We discuss the existence and non-existence of periodic in one variable and compactly supported in the other variables least energy solutions for equations with non-Lipschitz nonlin…