Matches in SemOpenAlex for { <https://semopenalex.org/work/W3005694858> ?p ?o ?g. }
- W3005694858 endingPage "111800" @default.
- W3005694858 startingPage "111800" @default.
- W3005694858 abstract "We study the existence and nonexistence of solution for the following class of quasilinear Schrödinger equations: −Δu+V(|x|)u−[Δ(u2)]u=Q(|x|)h(u),x∈R2,u(x)→0as|x|→∞,where V and Q are potentials that can be singular at the origin, unbounded or vanishing at infinity and the nonlinearity h(s) is allowed to satisfy the exponential critical growth with respect to the Trudinger–Moser inequality. By combining variational methods in a suitable weighted Orlicz space with a version of the Trudinger–Moser inequality for this space, we obtain the existence of a nonnegative ground state solution. For this, we have used some regularity results and we need to explore a symmetric criticality type argument. Moreover, under some conditions on V, Q and h(s), we prove that this problem does not have positive radial solution. Schrödinger equations of this type have been studied as models of several physical phenomena." @default.
- W3005694858 created "2020-02-24" @default.
- W3005694858 creator A5016273707 @default.
- W3005694858 creator A5016667422 @default.
- W3005694858 date "2020-07-01" @default.
- W3005694858 modified "2023-09-30" @default.
- W3005694858 title "Quasilinear Schrödinger equations with singular and vanishing potentials involving exponential critical growth in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e48 altimg=si10.svg><mml:msup><mml:mrow><mml:mi mathvariant=double-struck>R</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>" @default.
- W3005694858 cites W143622551 @default.
- W3005694858 cites W1583563753 @default.
- W3005694858 cites W1969258421 @default.
- W3005694858 cites W1978908638 @default.
- W3005694858 cites W1998094497 @default.
- W3005694858 cites W2003940306 @default.
- W3005694858 cites W2008477478 @default.
- W3005694858 cites W2009001334 @default.
- W3005694858 cites W2009618784 @default.
- W3005694858 cites W2013283900 @default.
- W3005694858 cites W2013508090 @default.
- W3005694858 cites W2024306935 @default.
- W3005694858 cites W2024431131 @default.
- W3005694858 cites W2025094856 @default.
- W3005694858 cites W2043135610 @default.
- W3005694858 cites W2044505328 @default.
- W3005694858 cites W2052287890 @default.
- W3005694858 cites W2065254261 @default.
- W3005694858 cites W2071132730 @default.
- W3005694858 cites W2073183458 @default.
- W3005694858 cites W2082750537 @default.
- W3005694858 cites W2083380115 @default.
- W3005694858 cites W2095691451 @default.
- W3005694858 cites W2116716821 @default.
- W3005694858 cites W2147456563 @default.
- W3005694858 cites W2314693488 @default.
- W3005694858 cites W2319963562 @default.
- W3005694858 cites W2321542194 @default.
- W3005694858 cites W2346580070 @default.
- W3005694858 cites W2515843661 @default.
- W3005694858 cites W2617246475 @default.
- W3005694858 cites W2755355399 @default.
- W3005694858 cites W3106182125 @default.
- W3005694858 cites W4234846287 @default.
- W3005694858 cites W4244989263 @default.
- W3005694858 doi "https://doi.org/10.1016/j.na.2020.111800" @default.
- W3005694858 hasPublicationYear "2020" @default.
- W3005694858 type Work @default.
- W3005694858 sameAs 3005694858 @default.
- W3005694858 citedByCount "4" @default.
- W3005694858 countsByYear W30056948582021 @default.
- W3005694858 countsByYear W30056948582022 @default.
- W3005694858 countsByYear W30056948582023 @default.
- W3005694858 crossrefType "journal-article" @default.
- W3005694858 hasAuthorship W3005694858A5016273707 @default.
- W3005694858 hasAuthorship W3005694858A5016667422 @default.
- W3005694858 hasConcept C103642545 @default.
- W3005694858 hasConcept C111919701 @default.
- W3005694858 hasConcept C121332964 @default.
- W3005694858 hasConcept C134306372 @default.
- W3005694858 hasConcept C151376022 @default.
- W3005694858 hasConcept C154945302 @default.
- W3005694858 hasConcept C158622935 @default.
- W3005694858 hasConcept C185592680 @default.
- W3005694858 hasConcept C18903297 @default.
- W3005694858 hasConcept C202444582 @default.
- W3005694858 hasConcept C2777212361 @default.
- W3005694858 hasConcept C2777299769 @default.
- W3005694858 hasConcept C2778572836 @default.
- W3005694858 hasConcept C33923547 @default.
- W3005694858 hasConcept C37914503 @default.
- W3005694858 hasConcept C41008148 @default.
- W3005694858 hasConcept C55493867 @default.
- W3005694858 hasConcept C62520636 @default.
- W3005694858 hasConcept C7321624 @default.
- W3005694858 hasConcept C86803240 @default.
- W3005694858 hasConcept C98184364 @default.
- W3005694858 hasConceptScore W3005694858C103642545 @default.
- W3005694858 hasConceptScore W3005694858C111919701 @default.
- W3005694858 hasConceptScore W3005694858C121332964 @default.
- W3005694858 hasConceptScore W3005694858C134306372 @default.
- W3005694858 hasConceptScore W3005694858C151376022 @default.
- W3005694858 hasConceptScore W3005694858C154945302 @default.
- W3005694858 hasConceptScore W3005694858C158622935 @default.
- W3005694858 hasConceptScore W3005694858C185592680 @default.
- W3005694858 hasConceptScore W3005694858C18903297 @default.
- W3005694858 hasConceptScore W3005694858C202444582 @default.
- W3005694858 hasConceptScore W3005694858C2777212361 @default.
- W3005694858 hasConceptScore W3005694858C2777299769 @default.
- W3005694858 hasConceptScore W3005694858C2778572836 @default.
- W3005694858 hasConceptScore W3005694858C33923547 @default.
- W3005694858 hasConceptScore W3005694858C37914503 @default.
- W3005694858 hasConceptScore W3005694858C41008148 @default.
- W3005694858 hasConceptScore W3005694858C55493867 @default.
- W3005694858 hasConceptScore W3005694858C62520636 @default.
- W3005694858 hasConceptScore W3005694858C7321624 @default.
- W3005694858 hasConceptScore W3005694858C86803240 @default.
- W3005694858 hasConceptScore W3005694858C98184364 @default.
- W3005694858 hasFunder F4320321091 @default.
- W3005694858 hasFunder F4320322025 @default.
- W3005694858 hasFunder F4320323351 @default.
