Matches in SemOpenAlex for { <https://semopenalex.org/work/W2009877251> ?p ?o ?g. }
Showing items 1 to 60 of
60
with 100 items per page.
- W2009877251 endingPage "7" @default.
- W2009877251 startingPage "1" @default.
- W2009877251 abstract "This paper is concerned with the nonlinear Schrödinger equation with an unbounded potential <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$ivarphi_t=-bigtriangleupvarphi+V(x)varphi-mu|varphi|^{p-1}varphi-lambda |varphi|^{q-1}varphi$ id=E1><mml:mi>i</mml:mi><mml:msub><mml:mi>ϕ</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>−</mml:mo><mml:mi>Δ</mml:mi><mml:mi>ϕ</mml:mi><mml:mo>+</mml:mo><mml:mi>V</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mi>ϕ</mml:mi><mml:mo>−</mml:mo><mml:mi>μ</mml:mi><mml:msup><mml:mrow><mml:mo>|</mml:mo><mml:mi>ϕ</mml:mi><mml:mo>|</mml:mo></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mi>ϕ</mml:mi><mml:mo>−</mml:mo><mml:mi>λ</mml:mi><mml:msup><mml:mrow><mml:mo>|</mml:mo><mml:mi>ϕ</mml:mi><mml:mo>|</mml:mo></mml:mrow><mml:mrow><mml:mi>q</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mi>ϕ</mml:mi></mml:math>, <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$xin{mathbb{R}}^N$ id=E2><mml:mi>x</mml:mi><mml:mo>∈</mml:mo><mml:msup><mml:mi>ℝ</mml:mi><mml:mi>N</mml:mi></mml:msup></mml:math>, <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$tgeq 0,$ id=E3><mml:mi>t</mml:mi><mml:mo>≥</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo></mml:math> where <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$mu0$ id=E4><mml:mi>μ</mml:mi><mml:mo>></mml:mo><mml:mn>0</mml:mn></mml:math>, <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$lambda0,$ id=E5><mml:mi>λ</mml:mi><mml:mo>></mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo></mml:math> and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$1/ltp/ltq/lt 1 + 4/N$ id=E6><mml:mn>1</mml:mn><mml:mo><</mml:mo><mml:mi>p</mml:mi><mml:mo><</mml:mo><mml:mi>q</mml:mi><mml:mo><</mml:mo><mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mn>4</mml:mn></mml:mrow><mml:mo>/</mml:mo><mml:mi>N</mml:mi></mml:mrow></mml:math>. The potential <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$V(x)$ id=E7><mml:mi>V</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> is bounded from below and satisfies <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$V(x)rightarrow infty$ id=E8><mml:mi>V</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>→</mml:mo><mml:mi>∞</mml:mi></mml:math> as <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$|x|rightarrow infty$ id=E9><mml:mrow><mml:mo>|</mml:mo><mml:mi>x</mml:mi><mml:mo>|</mml:mo></mml:mrow><mml:mo>→</mml:mo><mml:mi>∞</mml:mi></mml:math>. From variational calculus and a compactness lemma, the existence of standing waves and their orbital stability are obtained." @default.
- W2009877251 created "2016-06-24" @default.
- W2009877251 creator A5000270757 @default.
- W2009877251 creator A5002692065 @default.
- W2009877251 creator A5055895395 @default.
- W2009877251 date "2006-01-03" @default.
- W2009877251 modified "2023-10-16" @default.
- W2009877251 title "Orbital stability of standing waves for a class of Schrödinger equations with unbounded potential" @default.
- W2009877251 cites W1963948184 @default.
- W2009877251 cites W1973406635 @default.
- W2009877251 cites W1999543341 @default.
- W2009877251 cites W2001835483 @default.
- W2009877251 cites W2005105370 @default.
- W2009877251 cites W2006927129 @default.
- W2009877251 cites W2016672830 @default.
- W2009877251 cites W2017199584 @default.
- W2009877251 cites W2029860558 @default.
- W2009877251 cites W2034012235 @default.
- W2009877251 cites W2038670586 @default.
- W2009877251 cites W2059390441 @default.
- W2009877251 cites W2078344761 @default.
- W2009877251 cites W2509548217 @default.
- W2009877251 cites W4239384103 @default.
- W2009877251 cites W4244104404 @default.
- W2009877251 doi "https://doi.org/10.1155/jamsa/2006/57676" @default.
- W2009877251 hasPublicationYear "2006" @default.
- W2009877251 type Work @default.
- W2009877251 sameAs 2009877251 @default.
- W2009877251 citedByCount "0" @default.
- W2009877251 crossrefType "journal-article" @default.
- W2009877251 hasAuthorship W2009877251A5000270757 @default.
- W2009877251 hasAuthorship W2009877251A5002692065 @default.
- W2009877251 hasAuthorship W2009877251A5055895395 @default.
- W2009877251 hasBestOaLocation W20098772511 @default.
- W2009877251 hasConcept C11413529 @default.
- W2009877251 hasConcept C41008148 @default.
- W2009877251 hasConceptScore W2009877251C11413529 @default.
- W2009877251 hasConceptScore W2009877251C41008148 @default.
- W2009877251 hasFunder F4320321001 @default.
- W2009877251 hasLocation W20098772511 @default.
- W2009877251 hasLocation W20098772512 @default.
- W2009877251 hasOpenAccess W2009877251 @default.
- W2009877251 hasPrimaryLocation W20098772511 @default.
- W2009877251 hasRelatedWork W2051487156 @default.
- W2009877251 hasRelatedWork W2052122378 @default.
- W2009877251 hasRelatedWork W2053286651 @default.
- W2009877251 hasRelatedWork W2073681303 @default.
- W2009877251 hasRelatedWork W2317200988 @default.
- W2009877251 hasRelatedWork W2544423928 @default.
- W2009877251 hasRelatedWork W2947381795 @default.
- W2009877251 hasRelatedWork W2181413294 @default.
- W2009877251 hasRelatedWork W2181743346 @default.
- W2009877251 hasRelatedWork W2187401768 @default.
- W2009877251 hasVolume "2006" @default.
- W2009877251 isParatext "false" @default.
- W2009877251 isRetracted "false" @default.
- W2009877251 magId "2009877251" @default.
- W2009877251 workType "article" @default.