General solvability theorems
نویسندگان
چکیده
منابع مشابه
Some Solvability Theorems for Nonlinear Equations
Let E be a locally convex space and f : E → E a mapping. We say that the equation f(x) = 0 is almost solvable on A ⊂ E if 0 ∈ f(A). In this paper some results about the solvability and almost solvability are given. Our results are based on some classical fixed point theorems and on some geometrical conditions.
متن کاملNormal Solvability of General Linear Elliptic Problems
The paper is devoted to general elliptic problems in the Douglis-Nirenberg sense. We obtain a necessary and sufficient condition of normal solvability in the case of unbounded domains. Along with the ellipticity condition, proper ellipticity and Lopatinsky condition that determine normal solvability of elliptic problems in bounded domains, one more condition formulated in terms of limiting prob...
متن کاملGeneral Dynamic Triviality Theorems
We have three goals in this paper. In Sections 1–3, we generalize Lewis’s results to apply to a wide variety of other principles that have a similar flavor—principles about epistemic “might”, probability claims, and claims about comparative value, including the last two in the list above. In Sections 4–5, we show how to streamline these arguments in a more minimalistic framework, which doesn’t ...
متن کاملOn General Summability Factor Theorems
In the recent papers [1, 2], the author obtained necessary and sufficient conditions for a series ∑ an which is absolutely summable of order k by a weighted mean method, 1 < k ≤ s <∞, to be such that anλn is absolutely summable of order s by a triangular matrix method. In this paper, we obtain sufficient and (different) necessary conditions for a series ∑ an which is absolutely summable |A|k to...
متن کاملON GENERAL SOLVABILITY PROPERTIES OF p-LAPALACIAN-LIKE EQUATIONS
We discuss how the choice of the functional setting and the definition of the weak solution affect the existence and uniqueness of the solution to the equation −∆pu = f in Ω, where Ω is a very general domain in N , including the case Ω = N .
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1978
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1978.75.1