Matches in SemOpenAlex for { <https://semopenalex.org/work/W4303645632> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W4303645632 abstract "In this paper we establish a new existence result for the quasilinear elliptic problem $$begin{aligned} -mathrm{div}(A(x,u)|nabla u|^{p-2}nabla u) +frac{1}{p} A_t(x,u)|nabla u|^p + V(x)|u|^{p-2} u = g(x,u)quad text{ in } {mathbb {R}}^N, end{aligned}$$ with $$Nge 2$$ , $$p>1$$ and $$V:{mathbb {R}}^Nrightarrow {mathbb {R}}$$ suitable measurable positive function, which generalizes the modified Schrödinger equation. Here, we suppose that $$A:{mathbb {R}}^Ntimes {mathbb {R}}rightarrow {mathbb {R}}$$ is a $${mathcal {C}}^{1}$$ -Caratheodory function such that $$A_t(x,t) = frac{partial A}{partial t} (x,t)$$ and a given Carathéodory function $$g:{mathbb {R}}^Ntimes {mathbb {R}}rightarrow {mathbb {R}}$$ has a subcritical growth and satisfies the Ambrosetti–Rabinowitz condition. Since the coefficient of the principal part depends also on the solution itself, we study the interaction of two different norms in a suitable Banach space so to obtain a “good” variational approach. Thus, by means of approximation arguments on bounded sets we can state the existence of a nontrivial weak bounded solution." @default.
- W4303645632 created "2022-10-08" @default.
- W4303645632 creator A5028807720 @default.
- W4303645632 creator A5047029010 @default.
- W4303645632 creator A5054898957 @default.
- W4303645632 date "2022-10-08" @default.
- W4303645632 modified "2023-09-27" @default.
- W4303645632 title "Bounded solutions for quasilinear modified Schrödinger equations" @default.
- W4303645632 cites W143622551 @default.
- W4303645632 cites W1511944115 @default.
- W4303645632 cites W1583563753 @default.
- W4303645632 cites W1967182092 @default.
- W4303645632 cites W1981288703 @default.
- W4303645632 cites W1984960244 @default.
- W4303645632 cites W2001428199 @default.
- W4303645632 cites W2003940306 @default.
- W4303645632 cites W2017989469 @default.
- W4303645632 cites W202751266 @default.
- W4303645632 cites W2038151323 @default.
- W4303645632 cites W2049821872 @default.
- W4303645632 cites W2054884479 @default.
- W4303645632 cites W2056166748 @default.
- W4303645632 cites W2057330327 @default.
- W4303645632 cites W2058354499 @default.
- W4303645632 cites W2073183458 @default.
- W4303645632 cites W2073719203 @default.
- W4303645632 cites W2244987555 @default.
- W4303645632 cites W2509079112 @default.
- W4303645632 cites W2509548217 @default.
- W4303645632 cites W2515032052 @default.
- W4303645632 cites W2597257250 @default.
- W4303645632 cites W2975967281 @default.
- W4303645632 cites W4293202120 @default.
- W4303645632 cites W2082401302 @default.
- W4303645632 doi "https://doi.org/10.1007/s00526-022-02328-y" @default.
- W4303645632 hasPublicationYear "2022" @default.
- W4303645632 type Work @default.
- W4303645632 citedByCount "2" @default.
- W4303645632 countsByYear W43036456322023 @default.
- W4303645632 crossrefType "journal-article" @default.
- W4303645632 hasAuthorship W4303645632A5028807720 @default.
- W4303645632 hasAuthorship W4303645632A5047029010 @default.
- W4303645632 hasAuthorship W4303645632A5054898957 @default.
- W4303645632 hasBestOaLocation W43036456322 @default.
- W4303645632 hasConcept C114614502 @default.
- W4303645632 hasConcept C118615104 @default.
- W4303645632 hasConcept C121332964 @default.
- W4303645632 hasConcept C132954091 @default.
- W4303645632 hasConcept C134306372 @default.
- W4303645632 hasConcept C138885662 @default.
- W4303645632 hasConcept C14036430 @default.
- W4303645632 hasConcept C2778572836 @default.
- W4303645632 hasConcept C2779557605 @default.
- W4303645632 hasConcept C33923547 @default.
- W4303645632 hasConcept C34388435 @default.
- W4303645632 hasConcept C41895202 @default.
- W4303645632 hasConcept C54207081 @default.
- W4303645632 hasConcept C62520636 @default.
- W4303645632 hasConcept C78458016 @default.
- W4303645632 hasConcept C86803240 @default.
- W4303645632 hasConceptScore W4303645632C114614502 @default.
- W4303645632 hasConceptScore W4303645632C118615104 @default.
- W4303645632 hasConceptScore W4303645632C121332964 @default.
- W4303645632 hasConceptScore W4303645632C132954091 @default.
- W4303645632 hasConceptScore W4303645632C134306372 @default.
- W4303645632 hasConceptScore W4303645632C138885662 @default.
- W4303645632 hasConceptScore W4303645632C14036430 @default.
- W4303645632 hasConceptScore W4303645632C2778572836 @default.
- W4303645632 hasConceptScore W4303645632C2779557605 @default.
- W4303645632 hasConceptScore W4303645632C33923547 @default.
- W4303645632 hasConceptScore W4303645632C34388435 @default.
- W4303645632 hasConceptScore W4303645632C41895202 @default.
- W4303645632 hasConceptScore W4303645632C54207081 @default.
- W4303645632 hasConceptScore W4303645632C62520636 @default.
- W4303645632 hasConceptScore W4303645632C78458016 @default.
- W4303645632 hasConceptScore W4303645632C86803240 @default.
- W4303645632 hasFunder F4320321873 @default.
- W4303645632 hasFunder F4320323256 @default.
- W4303645632 hasIssue "6" @default.
- W4303645632 hasLocation W43036456321 @default.
- W4303645632 hasLocation W43036456322 @default.
- W4303645632 hasOpenAccess W4303645632 @default.
- W4303645632 hasPrimaryLocation W43036456321 @default.
- W4303645632 hasRelatedWork W1978042415 @default.
- W4303645632 hasRelatedWork W2017331178 @default.
- W4303645632 hasRelatedWork W2166518045 @default.
- W4303645632 hasRelatedWork W2278466645 @default.
- W4303645632 hasRelatedWork W2508411132 @default.
- W4303645632 hasRelatedWork W2525300187 @default.
- W4303645632 hasRelatedWork W3043457169 @default.
- W4303645632 hasRelatedWork W3086542228 @default.
- W4303645632 hasRelatedWork W4287247995 @default.
- W4303645632 hasRelatedWork W4299293101 @default.
- W4303645632 hasVolume "61" @default.
- W4303645632 isParatext "false" @default.
- W4303645632 isRetracted "false" @default.
- W4303645632 workType "article" @default.