Results 111 to 120 of about 1,228,906 (333)

Positive solutions of elliptic equations [PDF]

open access: yesPacific Journal of Mathematics, 1978
Moss, William F., Piepenbrink, John
openaire   +3 more sources

Unlocking the potential of tumor‐derived DNA in urine for cancer detection: methodological challenges and opportunities

open access: yesMolecular Oncology, EarlyView.
Urine is a rich source of biomarkers for cancer detection. Tumor‐derived material is released into the bloodstream and transported to the urine. Urine can easily be collected from individuals, allowing non‐invasive cancer detection. This review discusses the rationale behind urine‐based cancer detection and its potential for cancer diagnostics ...
Birgit M. M. Wever   +1 more
wiley   +1 more source

On Delaunay solutions of a biharmonic elliptic equation with critical exponent [PDF]

open access: yesarXiv, 2017
We are interested in the qualitative properties of positive entire solutions $u \in C^4 (\mathbb{R}^n \backslash \{0\})$ of the equation \begin{equation} \label{0.0} \Delta^2 u=u^{\frac{n+4}{n-4}} \;\;\mbox{in $\mathbb{R}^n \backslash \{0\}$ and 0 is a non-removable singularity of $u(x)$}. \end{equation} It is known from [Theorem 4.2] that any positive
arxiv  

Identification of functional and diverse circulating cancer‐associated fibroblasts in metastatic castration‐naïve prostate cancer patients

open access: yesMolecular Oncology, EarlyView.
Cancer‐associated fibroblasts (CAFs) promote cancer growth, invasion (metastasis), and drug resistance. Here, we identified functional and diverse circulating CAFs (cCAFs) in patients with metastatic prostate cancer (mPCa). cCAFs were found in higher numbers and were functional and diverse in mPCa patients versus healthy individuals, suggesting their ...
Richell Booijink   +6 more
wiley   +1 more source

Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions [PDF]

open access: yesarXiv, 2016
Assuming $B_{R}$ is a ball in $\mathbb R^{N}$, we analyze the positive solutions of the problem \[ \begin{cases} -\Delta u+u= |u|^{p-2}u, &\text{ in } B_{R},\newline \partial_{\nu}u=0,&\text{ on } \partial B_{R}, \end{cases} \] that branch out from the constant solution $u=1$ as $p$ grows from $2$ to $+\infty$.
arxiv  

Surfaceome: a new era in the discovery of immune evasion mechanisms of circulating tumor cells

open access: yesMolecular Oncology, EarlyView.
In the era of immunotherapies, many patients either do not respond or eventually develop resistance. We propose to pave the way for proteomic analysis of surface‐expressed proteins called surfaceome, of circulating tumor cells. This approach seeks to identify immune evasion mechanisms and discover potential therapeutic targets. Circulating tumor cells (
Doryan Masmoudi   +3 more
wiley   +1 more source

Positive solutions of singular boundary value problem of negative exponent Emden--Fowler equation [PDF]

open access: yesProc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 2, May 2003, pp. 195-205, 2003
This paper investigates the existence of positive solutions of a singular boundary value problem with negative exponent similar to standard Emden--Fowler equation. A necessary and sufficient condition for the existence of $C[0,1]$ positive solutions as well as $C^{1}[0,1]$ positive solutions is given by means of the method of lower and upper solutions ...
arxiv  

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