Existence and regularity of solutions to semi-linear Dirichlet problem of infinitely degenerate elliptic operators with singular potential term (Q365830)
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scientific article; zbMATH DE number 6207057
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and regularity of solutions to semi-linear Dirichlet problem of infinitely degenerate elliptic operators with singular potential term |
scientific article; zbMATH DE number 6207057 |
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Existence and regularity of solutions to semi-linear Dirichlet problem of infinitely degenerate elliptic operators with singular potential term (English)
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9 September 2013
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The paper studies the existence and regularity of the Dirichlet solutions for a class of semi-linear infinitely degenerate elliptic equations with singular potential term. The logarithmic Sobolev inequality and the Hardy inequality are used to prove the existence and regularity of multiple nontrivial solutions.
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Hardy's inequality
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infinitely degenerate elliptic equations
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logarithmic Sobolev inequality
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singular potential term
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