A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities (Q973931)
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scientific article; zbMATH DE number 5712550
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities |
scientific article; zbMATH DE number 5712550 |
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A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities (English)
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26 May 2010
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The authors obtain local a priori estimates and related nonexistence theorems for weak solutions of a wide class of quasilinear elliptic inequalities for not necessarily power nonlinearities in a framework which includes as special cases sub-elliptic structures and Carnot groups. Also, they study quasilinear elliptic inequalities associated to differential operators which satisfy some special hypotheses and without assuming the nonlinearities and the solutions have a prescribed sign. Finally, they present some well known facts in Carnot and Heisenberg groups and some examples of operators for which, their results for differential inequalities can be applied.
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Heisenberg group
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quasilinear operators
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a priori estimate
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Liouville theorem
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positivity
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elliptic inequality
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Carnot group
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