Matches in SemOpenAlex for { <https://semopenalex.org/work/W2808145173> ?p ?o ?g. }
Showing items 1 to 62 of
62
with 100 items per page.
- W2808145173 abstract "In this paper, we consider a system of semilinear equations involving the fractional Laplacian in the Euclidean space $mathbb{R}^n$: begin{equation*} begin{cases} (-Delta)^{alpha/2}u(x)=f(x_n)v^p(x) (-Delta)^{alpha/2}v(x)=g(x_n)u^q(x) end{cases} end{equation*} in the subcritical case $1 < p,qle frac{n+alpha}{n-alpha}$ where $alpha in (0,,2)$. Instead of investigating the above system directly, we discuss its equivalent integral system: begin{equation*} begin{cases} u(x)=int_{mathbb{R}^n} G_{infty}(x,y)f(y_n)v^p(y)dy v(y)=int_{mathbb{R}^n} G_{infty}(x,y)g(x_n)u^q(x)dx , end{cases} end{equation*} where $G_{infty}(x, y)$ is the Green's function associated with the fractional Laplacian in $mathbb{R}^n$. Under natural structure condition on $f$ and $g$, we indicate the nonexistence of the positive solutions to the above integral system according to the method of moving spheres in integral form and the classic Hardy-Littlewood-Sobolev inequality." @default.
- W2808145173 created "2018-06-21" @default.
- W2808145173 creator A5013973657 @default.
- W2808145173 creator A5029950470 @default.
- W2808145173 date "2018-09-01" @default.
- W2808145173 modified "2023-10-18" @default.
- W2808145173 title "Nonexistence of positive solutions for a system of semilinear fractional Laplacian problem" @default.
- W2808145173 doi "https://doi.org/10.57262/die/1528855437" @default.
- W2808145173 hasPublicationYear "2018" @default.
- W2808145173 type Work @default.
- W2808145173 sameAs 2808145173 @default.
- W2808145173 citedByCount "0" @default.
- W2808145173 crossrefType "journal-article" @default.
- W2808145173 hasAuthorship W2808145173A5013973657 @default.
- W2808145173 hasAuthorship W2808145173A5029950470 @default.
- W2808145173 hasConcept C114614502 @default.
- W2808145173 hasConcept C134306372 @default.
- W2808145173 hasConcept C138885662 @default.
- W2808145173 hasConcept C14036430 @default.
- W2808145173 hasConcept C165700671 @default.
- W2808145173 hasConcept C186450821 @default.
- W2808145173 hasConcept C2775913539 @default.
- W2808145173 hasConcept C2778572836 @default.
- W2808145173 hasConcept C33923547 @default.
- W2808145173 hasConcept C37914503 @default.
- W2808145173 hasConcept C41895202 @default.
- W2808145173 hasConcept C78458016 @default.
- W2808145173 hasConcept C86803240 @default.
- W2808145173 hasConcept C99730327 @default.
- W2808145173 hasConceptScore W2808145173C114614502 @default.
- W2808145173 hasConceptScore W2808145173C134306372 @default.
- W2808145173 hasConceptScore W2808145173C138885662 @default.
- W2808145173 hasConceptScore W2808145173C14036430 @default.
- W2808145173 hasConceptScore W2808145173C165700671 @default.
- W2808145173 hasConceptScore W2808145173C186450821 @default.
- W2808145173 hasConceptScore W2808145173C2775913539 @default.
- W2808145173 hasConceptScore W2808145173C2778572836 @default.
- W2808145173 hasConceptScore W2808145173C33923547 @default.
- W2808145173 hasConceptScore W2808145173C37914503 @default.
- W2808145173 hasConceptScore W2808145173C41895202 @default.
- W2808145173 hasConceptScore W2808145173C78458016 @default.
- W2808145173 hasConceptScore W2808145173C86803240 @default.
- W2808145173 hasConceptScore W2808145173C99730327 @default.
- W2808145173 hasIssue "9/10" @default.
- W2808145173 hasLocation W28081451731 @default.
- W2808145173 hasOpenAccess W2808145173 @default.
- W2808145173 hasPrimaryLocation W28081451731 @default.
- W2808145173 hasRelatedWork W1689660711 @default.
- W2808145173 hasRelatedWork W2047046892 @default.
- W2808145173 hasRelatedWork W2098586728 @default.
- W2808145173 hasRelatedWork W2195020477 @default.
- W2808145173 hasRelatedWork W2326937005 @default.
- W2808145173 hasRelatedWork W2963222020 @default.
- W2808145173 hasRelatedWork W3174011922 @default.
- W2808145173 hasRelatedWork W4226338928 @default.
- W2808145173 hasRelatedWork W4290089953 @default.
- W2808145173 hasRelatedWork W4323927169 @default.
- W2808145173 hasVolume "31" @default.
- W2808145173 isParatext "false" @default.
- W2808145173 isRetracted "false" @default.
- W2808145173 magId "2808145173" @default.
- W2808145173 workType "article" @default.