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Start Over Creator Rogowski, Andrzej

2. Existence of solutions for the Dirichlet problem with superlinear nonlinearities

Creator:
Nowakowski, Andrzej and Rogowski, Andrzej
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
nonlinear Dirichlet problem, nontrivial solution, duality method, and superlinear nonlinearity
Language:
English
Description:
In this paper we establish the existence of nontrivial solutions to \[\frac{\mathrm d}{{\mathrm d}t}L_{x^{\prime }}(t,x^{\prime }(t))+V_{x} (t,x(t))=0,\quad x(0)=0=x(T),\] with $V_x$ superlinear in $x$.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public