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Positive solutions for Schrödinger–Poisson equations with a critical exponent

✍ Scribed by Leiga Zhao; Fukun Zhao


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
746 KB
Volume
70
Category
Article
ISSN
0362-546X

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A Pointwise Lower Bound for Positive Sol
✍ Bénédicte Alziary; Peter Takáč 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 734 KB

Strong positivity of the bounded inverse (&A) &1 of a Schro dinger operator &A=&2+q(x) v in L 2 (R N ) is proved in the following form: If &Au=f 0 in L 2 (R N ) with f 0, then u c. 1 a.e. in R N . Here, . 1 is the positive eigenfunction associated with the principal eigenvalue \* 1 of &A, and c is a