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math.AP2016
The Bolzano mean-value theorem and partial differential equations
Wojciech Kryszewski, Jakub Siemianowski
We study the existence of solutions to abstract equations of the form , , where A is an abstract differential operator acting in a Banach space ,…
math.AP2016
Generalized Nehari manifold and semilinear Schrödinger equation with weak monotonicity condition on the nonlinear term
Francisco Odair de Paiva, Wojciech Kryszewski, Andrzej Szulkin
We study the Schrödinger equations in and in a bounded domain . We assume that is superlinear bu…