Matches in SemOpenAlex for { <https://semopenalex.org/work/W2973219285> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W2973219285 abstract "Abstract We consider the following nonlinear fractional Schrödinger equation: $$ (-triangle )^{s} u+V(x)u=g(u) quad text{in } mathbb{R} ^{N}, $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mo>−</mml:mo> <mml:mi>△</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mi>s</mml:mi> </mml:msup> <mml:mi>u</mml:mi> <mml:mo>+</mml:mo> <mml:mi>V</mml:mi> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>)</mml:mo> <mml:mi>u</mml:mi> <mml:mo>=</mml:mo> <mml:mi>g</mml:mi> <mml:mo>(</mml:mo> <mml:mi>u</mml:mi> <mml:mo>)</mml:mo> <mml:mspace /> <mml:mtext>in </mml:mtext> <mml:msup> <mml:mi>R</mml:mi> <mml:mi>N</mml:mi> </mml:msup> <mml:mo>,</mml:mo> </mml:math> where $sin (0, 1)$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>s</mml:mi> <mml:mo>∈</mml:mo> <mml:mo>(</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> <mml:mo>)</mml:mo> </mml:math> , $N>2s$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> <mml:mo>></mml:mo> <mml:mn>2</mml:mn> <mml:mi>s</mml:mi> </mml:math> , $V(x)$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>V</mml:mi> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>)</mml:mo> </mml:math> is differentiable, and $gin C ^{1}(mathbb{R} , mathbb{R} )$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>g</mml:mi> <mml:mo>∈</mml:mo> <mml:msup> <mml:mi>C</mml:mi> <mml:mn>1</mml:mn> </mml:msup> <mml:mo>(</mml:mo> <mml:mi>R</mml:mi> <mml:mo>,</mml:mo> <mml:mi>R</mml:mi> <mml:mo>)</mml:mo> </mml:math> . By exploiting the minimization method with a constraint over Pohoz̆aev manifold, we obtain the existence of ground state solutions. With the help of Pohoz̆aev identity we also process the existence of the least energy solutions for the above equation. Our results improve the existing study on this nonlocal problem with Berestycki–Lions type nonlinearity to the one that does not need the oddness assumption." @default.
- W2973219285 created "2019-09-19" @default.
- W2973219285 creator A5032566839 @default.
- W2973219285 creator A5045231033 @default.
- W2973219285 date "2019-09-14" @default.
- W2973219285 modified "2023-09-24" @default.
- W2973219285 title "Ground state solutions for fractional Schrödinger equation with variable potential and Berestycki–Lions type nonlinearity" @default.
- W2973219285 cites W137582528 @default.
- W2973219285 cites W1695100291 @default.
- W2973219285 cites W1744306136 @default.
- W2973219285 cites W1981151781 @default.
- W2973219285 cites W1982258462 @default.
- W2973219285 cites W2007665140 @default.
- W2973219285 cites W2011095781 @default.
- W2973219285 cites W2022671370 @default.
- W2973219285 cites W2052768752 @default.
- W2973219285 cites W2053314036 @default.
- W2973219285 cites W2071132730 @default.
- W2973219285 cites W2079403793 @default.
- W2973219285 cites W2324165207 @default.
- W2973219285 cites W2327218125 @default.
- W2973219285 cites W2492009418 @default.
- W2973219285 cites W2509548217 @default.
- W2973219285 cites W2566976771 @default.
- W2973219285 cites W2598209719 @default.
- W2973219285 cites W2608809350 @default.
- W2973219285 cites W2619403791 @default.
- W2973219285 cites W2621594934 @default.
- W2973219285 cites W2735383720 @default.
- W2973219285 cites W2791969301 @default.
- W2973219285 cites W2807626978 @default.
- W2973219285 cites W2900140330 @default.
- W2973219285 cites W2906117403 @default.
- W2973219285 cites W2916461675 @default.
- W2973219285 cites W2939292598 @default.
- W2973219285 cites W2963851223 @default.
- W2973219285 cites W2964006947 @default.
- W2973219285 cites W2964255841 @default.
- W2973219285 cites W3101658996 @default.
- W2973219285 cites W3103229763 @default.
- W2973219285 cites W4232306901 @default.
- W2973219285 doi "https://doi.org/10.1186/s13661-019-1260-7" @default.
- W2973219285 hasPublicationYear "2019" @default.
- W2973219285 type Work @default.
- W2973219285 sameAs 2973219285 @default.
- W2973219285 citedByCount "3" @default.
- W2973219285 countsByYear W29732192852019 @default.
- W2973219285 countsByYear W29732192852020 @default.
- W2973219285 countsByYear W29732192852021 @default.
- W2973219285 crossrefType "journal-article" @default.
- W2973219285 hasAuthorship W2973219285A5032566839 @default.
- W2973219285 hasAuthorship W2973219285A5045231033 @default.
- W2973219285 hasBestOaLocation W29732192851 @default.
- W2973219285 hasConcept C11413529 @default.
- W2973219285 hasConcept C41008148 @default.
- W2973219285 hasConceptScore W2973219285C11413529 @default.
- W2973219285 hasConceptScore W2973219285C41008148 @default.
- W2973219285 hasFunder F4320321001 @default.
- W2973219285 hasFunder F4320322843 @default.
- W2973219285 hasLocation W29732192851 @default.
- W2973219285 hasOpenAccess W2973219285 @default.
- W2973219285 hasPrimaryLocation W29732192851 @default.
- W2973219285 hasRelatedWork W12664150 @default.
- W2973219285 hasRelatedWork W20998167 @default.
- W2973219285 hasRelatedWork W22198729 @default.
- W2973219285 hasRelatedWork W24464731 @default.
- W2973219285 hasRelatedWork W25121070 @default.
- W2973219285 hasRelatedWork W36294608 @default.
- W2973219285 hasRelatedWork W42354052 @default.
- W2973219285 hasRelatedWork W6096220 @default.
- W2973219285 hasRelatedWork W7751177 @default.
- W2973219285 hasRelatedWork W8495306 @default.
- W2973219285 isParatext "false" @default.
- W2973219285 isRetracted "false" @default.
- W2973219285 magId "2973219285" @default.
- W2973219285 workType "article" @default.