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- W1976349033 abstract "Existence, uniqueness and convergence of approximants of positive weak solutions for semilinear second order elliptic inequalities are obtained. The nonlinearities involved in these inequalities satisfy suitable upper or lower bound conditions or monotonicity conditions. The lower bound conditions are allowed to contain the critical Sobolev exponents. The methodology is to establish variational inequality principles for demicontinuous pseudo-contractive maps in Hilbert spaces by considering convergence of approximants and apply them to the corresponding variational inequalities arising from the semilinear second order elliptic inequalities. Examples on the existence, uniqueness and convergence of approximants of positive weak solutions of the semilinear second order elliptic inequalities are given." @default.
- W1976349033 created "2016-06-24" @default.
- W1976349033 creator A5024664440 @default.
- W1976349033 date "2011-08-01" @default.
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- W1976349033 title "Positive weak solutions of semilinear second order elliptic inequalities via variational inequalities" @default.
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- W1976349033 doi "https://doi.org/10.1016/j.jmaa.2011.03.030" @default.
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