학술
기타
A nonlocal elliptic problem on a Heisenberg group
arXiv Math
CC BY
이 매체는 공공·자유 라이선스로 본문을 직접 표시합니다.Abstract
We study an elliptic nonlocal problem driven by a source term which is a Radon measure.
We prove the existence of a weak solution by a weak convergence method.
In the process, we define a new function space which we name the Walker space.
The question about the existence of infinitely many nontrivial solutions leads to an interesting conjecture.
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