Matches in SemOpenAlex for { <https://semopenalex.org/work/W331262135> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W331262135 abstract "Abstract : We examine two problems concerning semilinear elliptic equations. We consider single equations of the form Delta upsilon rho(chi)upsilon(alpha) + sigma(chi)upsilon(Beta) for 0 < alpha is less than or equal to Beta is less than or equal to 1 and systems Delta upsilon = rho(absolute value chi absolute value)phi(nu), Delta nu = sigma (absolute value chi absolute value) delta(upsilon), both in Euclidean nu-space, nu is greater than or equal to 3. These types of problems arise in steady state diffusion, the electric potential of some bodies, subsonic motion of gases, and control theory. For the single equation case, we present sufficient conditions on phi and sigma to guarantee existence of nonnegative bounded solutions on the entire space. We also give alternative conditions that ensure existence of nonnegative radial solutions blowing up at infinity. Similarly, for systems, we provide conditions on rho, sigma, phi, and delta that guarantee existence of nonnegative solutions on the entire space. The main requirement for f and g will be closely related to a growth requirement known as the Keller-Osserman condition. Further, we demonstrate the existence of solutions blowing up at infinity and describe a set of initial conditions that would generate such solutions. Lastly, we examine several specific examples numerically to graphically demonstrate the results of our analysis." @default.
- W331262135 created "2016-06-24" @default.
- W331262135 creator A5033382752 @default.
- W331262135 date "2008-03-01" @default.
- W331262135 modified "2023-09-26" @default.
- W331262135 title "Entire Blow-Up Solutions of Semilinear Elliptic Equations and Systems" @default.
- W331262135 cites W1506437909 @default.
- W331262135 cites W1588513474 @default.
- W331262135 cites W1866311589 @default.
- W331262135 cites W1975946869 @default.
- W331262135 cites W1982267390 @default.
- W331262135 cites W2017170882 @default.
- W331262135 cites W2031382602 @default.
- W331262135 cites W2032061477 @default.
- W331262135 cites W2035398379 @default.
- W331262135 cites W2050528474 @default.
- W331262135 cites W2067265108 @default.
- W331262135 cites W2088123771 @default.
- W331262135 cites W2121409152 @default.
- W331262135 cites W2176482040 @default.
- W331262135 cites W2327418889 @default.
- W331262135 cites W293573693 @default.
- W331262135 cites W626312688 @default.
- W331262135 cites W2479386498 @default.
- W331262135 hasPublicationYear "2008" @default.
- W331262135 type Work @default.
- W331262135 sameAs 331262135 @default.
- W331262135 citedByCount "0" @default.
- W331262135 crossrefType "journal-article" @default.
- W331262135 hasAuthorship W331262135A5033382752 @default.
- W331262135 hasConcept C121332964 @default.
- W331262135 hasConcept C134306372 @default.
- W331262135 hasConcept C138885662 @default.
- W331262135 hasConcept C186450821 @default.
- W331262135 hasConcept C202444582 @default.
- W331262135 hasConcept C26955809 @default.
- W331262135 hasConcept C2778049214 @default.
- W331262135 hasConcept C2778572836 @default.
- W331262135 hasConcept C2780390204 @default.
- W331262135 hasConcept C33923547 @default.
- W331262135 hasConcept C34388435 @default.
- W331262135 hasConcept C37914503 @default.
- W331262135 hasConcept C41895202 @default.
- W331262135 hasConcept C62520636 @default.
- W331262135 hasConcept C7321624 @default.
- W331262135 hasConceptScore W331262135C121332964 @default.
- W331262135 hasConceptScore W331262135C134306372 @default.
- W331262135 hasConceptScore W331262135C138885662 @default.
- W331262135 hasConceptScore W331262135C186450821 @default.
- W331262135 hasConceptScore W331262135C202444582 @default.
- W331262135 hasConceptScore W331262135C26955809 @default.
- W331262135 hasConceptScore W331262135C2778049214 @default.
- W331262135 hasConceptScore W331262135C2778572836 @default.
- W331262135 hasConceptScore W331262135C2780390204 @default.
- W331262135 hasConceptScore W331262135C33923547 @default.
- W331262135 hasConceptScore W331262135C34388435 @default.
- W331262135 hasConceptScore W331262135C37914503 @default.
- W331262135 hasConceptScore W331262135C41895202 @default.
- W331262135 hasConceptScore W331262135C62520636 @default.
- W331262135 hasConceptScore W331262135C7321624 @default.
- W331262135 hasLocation W3312621351 @default.
- W331262135 hasOpenAccess W331262135 @default.
- W331262135 hasPrimaryLocation W3312621351 @default.
- W331262135 hasRelatedWork W1997648824 @default.
- W331262135 hasRelatedWork W2039830993 @default.
- W331262135 hasRelatedWork W2065117950 @default.
- W331262135 hasRelatedWork W2111947576 @default.
- W331262135 hasRelatedWork W2316514650 @default.
- W331262135 hasRelatedWork W2322221141 @default.
- W331262135 hasRelatedWork W2577339600 @default.
- W331262135 hasRelatedWork W2765672525 @default.
- W331262135 hasRelatedWork W2789442339 @default.
- W331262135 hasRelatedWork W2791496453 @default.
- W331262135 hasRelatedWork W2795966406 @default.
- W331262135 hasRelatedWork W2907843461 @default.
- W331262135 hasRelatedWork W2949061753 @default.
- W331262135 hasRelatedWork W2950976479 @default.
- W331262135 hasRelatedWork W3080129454 @default.
- W331262135 hasRelatedWork W3092639242 @default.
- W331262135 hasRelatedWork W3099020566 @default.
- W331262135 hasRelatedWork W3104329228 @default.
- W331262135 hasRelatedWork W3184836449 @default.
- W331262135 hasRelatedWork W3197020618 @default.
- W331262135 isParatext "false" @default.
- W331262135 isRetracted "false" @default.
- W331262135 magId "331262135" @default.
- W331262135 workType "article" @default.