FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2951903618> ?p ?o ?g. }

• W2951903618 abstract "The study of higher order energy functionals was first proposed by Eells and Sampson in 1965 and, later, by Eells and Lemaire in 1983. These functionals provide a natural generalization of the classical energy functional. More precisely, Eells and Sampson suggested the investigation of the so-called $ES-r$-energy functionals $ E_r^{ES}(varphi)=(1/2)int_{M},|(d^*+d)^r (varphi)|^2,dV$, where $ varphi:M to N$ is a map between two Riemannian manifolds. In the initial part of this paper we shall clarify some relevant issues about the definition of an $ES-r$-harmonic map, i.e, a critical point of $ E_r^{ES}(varphi)$. That seems important to us because in the literature other higher order energy functionals have been studied by several authors and consequently some recent examples need to be discussed and extended: this shall be done in the first two sections of this work, where we obtain the first examples of proper critical points of $E_r^{ES}(varphi)$ when $N={mathbb S}^m$ $(r geq4,, mgeq3)$, and we also prove some general facts which should be useful for future developments of this subject. Next, we shall compute the Euler-Lagrange system of equations for $E_r^{ES}(varphi)$ for $r=4$. We shall apply this result to the study of maps into space forms and to rotationally symmetric maps: in particular, we shall focus on the study of various family of conformal maps. In Section 4, we shall also show that, even if $2 r > dim M$, the functionals $ E_r^{ES}(varphi)$ may not satisfy the classical Palais-Smale Condition (C). In the final part of the paper we shall study the second variation and compute index and nullity of some significant examples." @default.
• W2951903618 created "2019-06-27" @default.
• W2951903618 creator A5009923473 @default.
• W2951903618 creator A5013620831 @default.
• W2951903618 creator A5051971206 @default.
• W2951903618 creator A5057116232 @default.
• W2951903618 date "2019-06-14" @default.
• W2951903618 modified "2023-09-27" @default.
• W2951903618 title "Higher order energy functionals" @default.
• W2951903618 cites W1513885689 @default.
• W2951903618 cites W1534420431 @default.
• W2951903618 cites W1572143211 @default.
• W2951903618 cites W1594784417 @default.
• W2951903618 cites W1650067299 @default.
• W2951903618 cites W1976338362 @default.
• W2951903618 cites W1993766409 @default.
• W2951903618 cites W2006603996 @default.
• W2951903618 cites W2026707893 @default.
• W2951903618 cites W2041117423 @default.
• W2951903618 cites W2062808572 @default.
• W2951903618 cites W2079171130 @default.
• W2951903618 cites W2080871054 @default.
• W2951903618 cites W2111942807 @default.
• W2951903618 cites W2117470446 @default.
• W2951903618 cites W2119244918 @default.
• W2951903618 cites W2147365621 @default.
• W2951903618 cites W2182293317 @default.
• W2951903618 cites W2185404473 @default.
• W2951903618 cites W2259016291 @default.
• W2951903618 cites W2484303999 @default.
• W2951903618 cites W2500619232 @default.
• W2951903618 cites W2557244496 @default.
• W2951903618 cites W2791705459 @default.
• W2951903618 cites W2962954130 @default.
• W2951903618 cites W2963290089 @default.
• W2951903618 cites W2963411828 @default.
• W2951903618 cites W2963678017 @default.
• W2951903618 cites W2964107097 @default.
• W2951903618 cites W2964347901 @default.
• W2951903618 cites W3022299455 @default.
• W2951903618 cites W78830832 @default.
• W2951903618 cites W1489922269 @default.
• W2951903618 hasPublicationYear "2019" @default.
• W2951903618 type Work @default.
• W2951903618 sameAs 2951903618 @default.
• W2951903618 citedByCount "0" @default.
• W2951903618 crossrefType "posted-content" @default.
• W2951903618 hasAuthorship W2951903618A5009923473 @default.
• W2951903618 hasAuthorship W2951903618A5013620831 @default.
• W2951903618 hasAuthorship W2951903618A5051971206 @default.
• W2951903618 hasAuthorship W2951903618A5057116232 @default.
• W2951903618 hasConcept C10138342 @default.
• W2951903618 hasConcept C105795698 @default.
• W2951903618 hasConcept C111919701 @default.
• W2951903618 hasConcept C134306372 @default.
• W2951903618 hasConcept C162324750 @default.
• W2951903618 hasConcept C177148314 @default.
• W2951903618 hasConcept C182306322 @default.
• W2951903618 hasConcept C186370098 @default.
• W2951903618 hasConcept C202444582 @default.
• W2951903618 hasConcept C2778572836 @default.
• W2951903618 hasConcept C2778778035 @default.
• W2951903618 hasConcept C2780129039 @default.
• W2951903618 hasConcept C33923547 @default.
• W2951903618 hasConcept C41008148 @default.
• W2951903618 hasConcept C6270764 @default.
• W2951903618 hasConcept C98214594 @default.
• W2951903618 hasConceptScore W2951903618C10138342 @default.
• W2951903618 hasConceptScore W2951903618C105795698 @default.
• W2951903618 hasConceptScore W2951903618C111919701 @default.
• W2951903618 hasConceptScore W2951903618C134306372 @default.
• W2951903618 hasConceptScore W2951903618C162324750 @default.
• W2951903618 hasConceptScore W2951903618C177148314 @default.
• W2951903618 hasConceptScore W2951903618C182306322 @default.
• W2951903618 hasConceptScore W2951903618C186370098 @default.
• W2951903618 hasConceptScore W2951903618C202444582 @default.
• W2951903618 hasConceptScore W2951903618C2778572836 @default.
• W2951903618 hasConceptScore W2951903618C2778778035 @default.
• W2951903618 hasConceptScore W2951903618C2780129039 @default.
• W2951903618 hasConceptScore W2951903618C33923547 @default.
• W2951903618 hasConceptScore W2951903618C41008148 @default.
• W2951903618 hasConceptScore W2951903618C6270764 @default.
• W2951903618 hasConceptScore W2951903618C98214594 @default.
• W2951903618 hasLocation W29519036181 @default.
• W2951903618 hasOpenAccess W2951903618 @default.
• W2951903618 hasPrimaryLocation W29519036181 @default.
• W2951903618 hasRelatedWork W1532084947 @default.
• W2951903618 hasRelatedWork W1559216392 @default.
• W2951903618 hasRelatedWork W162404217 @default.
• W2951903618 hasRelatedWork W1977792209 @default.
• W2951903618 hasRelatedWork W1994302110 @default.
• W2951903618 hasRelatedWork W2043814424 @default.
• W2951903618 hasRelatedWork W2044822599 @default.
• W2951903618 hasRelatedWork W2071453418 @default.
• W2951903618 hasRelatedWork W2153240284 @default.
• W2951903618 hasRelatedWork W2313208580 @default.
• W2951903618 hasRelatedWork W2333722731 @default.
• W2951903618 hasRelatedWork W2596692700 @default.
• W2951903618 hasRelatedWork W2897077777 @default.
• W2951903618 hasRelatedWork W2921224254 @default.

• next