FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3129847444> ?p ?o ?g. }

• W3129847444 endingPage "829" @default.
• W3129847444 startingPage "811" @default.
• W3129847444 abstract "Abstract We investigate the different notions of solutions to the double-phase equation <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mrow> <m:mrow> <m:mo>-</m:mo> <m:mrow> <m:mi>div</m:mi> <m:mo>⁡</m:mo> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:mrow> <m:mrow> <m:msup> <m:mrow> <m:mo fence=true stretchy=false>|</m:mo> <m:mrow> <m:mi>D</m:mi> <m:mo>⁢</m:mo> <m:mi>u</m:mi> </m:mrow> <m:mo fence=true stretchy=false>|</m:mo> </m:mrow> <m:mrow> <m:mi>p</m:mi> <m:mo>-</m:mo> <m:mn>2</m:mn> </m:mrow> </m:msup> <m:mo>⁢</m:mo> <m:mi>D</m:mi> <m:mo>⁢</m:mo> <m:mi>u</m:mi> </m:mrow> <m:mo>+</m:mo> <m:mrow> <m:mi>a</m:mi> <m:mo>⁢</m:mo> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:mi>x</m:mi> <m:mo stretchy=false>)</m:mo> </m:mrow> <m:mo>⁢</m:mo> <m:msup> <m:mrow> <m:mo fence=true stretchy=false>|</m:mo> <m:mrow> <m:mi>D</m:mi> <m:mo>⁢</m:mo> <m:mi>u</m:mi> </m:mrow> <m:mo fence=true stretchy=false>|</m:mo> </m:mrow> <m:mrow> <m:mi>q</m:mi> <m:mo>-</m:mo> <m:mn>2</m:mn> </m:mrow> </m:msup> <m:mo>⁢</m:mo> <m:mi>D</m:mi> <m:mo>⁢</m:mo> <m:mi>u</m:mi> </m:mrow> </m:mrow> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:mrow> </m:mrow> <m:mo>=</m:mo> <m:mn>0</m:mn> </m:mrow> <m:mo>,</m:mo> </m:mrow> </m:math> -{operatorname{div}(lvert Durvert^{p-2}Du+a(x)lvert Durvert^{q-2}Du)}=0, which is characterized by the fact that both ellipticity and growth switch between two different types of polynomial according to the position. We introduce the <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mi mathvariant=script>𝒜</m:mi> <m:mrow> <m:mi>H</m:mi> <m:mo>⁢</m:mo> <m:mrow> <m:mo rspace=4.2pt stretchy=false>(</m:mo> <m:mo rspace=4.2pt>⋅</m:mo> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:mrow> </m:msub> </m:math> {mathcal{A}_{H(,{cdot},)}} -harmonic functions of nonlinear potential theory and then show that <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mi mathvariant=script>𝒜</m:mi> <m:mrow> <m:mi>H</m:mi> <m:mo>⁢</m:mo> <m:mrow> <m:mo rspace=4.2pt stretchy=false>(</m:mo> <m:mo rspace=4.2pt>⋅</m:mo> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:mrow> </m:msub> </m:math> {mathcal{A}_{H(,{cdot},)}} -harmonic functions coincide with the distributional and viscosity solutions, respectively. This implies that the distributional and viscosity solutions are exactly the same." @default.
• W3129847444 created "2021-03-01" @default.
• W3129847444 creator A5035775502 @default.
• W3129847444 creator A5040555478 @default.
• W3129847444 date "2020-10-17" @default.
• W3129847444 modified "2023-10-17" @default.
• W3129847444 title "Equivalence between distributional and viscosity solutions for the double-phase equation" @default.
• W3129847444 cites W1543013081 @default.
• W3129847444 cites W1565064279 @default.
• W3129847444 cites W1740554089 @default.
• W3129847444 cites W1976782352 @default.
• W3129847444 cites W1985047572 @default.
• W3129847444 cites W1989248977 @default.
• W3129847444 cites W2003501858 @default.
• W3129847444 cites W2018343341 @default.
• W3129847444 cites W2026191437 @default.
• W3129847444 cites W2032316144 @default.
• W3129847444 cites W2035525127 @default.
• W3129847444 cites W2052042441 @default.
• W3129847444 cites W2065964017 @default.
• W3129847444 cites W2068839002 @default.
• W3129847444 cites W2104821298 @default.
• W3129847444 cites W2119776780 @default.
• W3129847444 cites W2146172946 @default.
• W3129847444 cites W2198552431 @default.
• W3129847444 cites W2214056589 @default.
• W3129847444 cites W2314641713 @default.
• W3129847444 cites W2595313361 @default.
• W3129847444 cites W2753092882 @default.
• W3129847444 cites W2768264492 @default.
• W3129847444 cites W2791727399 @default.
• W3129847444 cites W2806648348 @default.
• W3129847444 cites W2941765503 @default.
• W3129847444 cites W2963311214 @default.
• W3129847444 cites W2963997759 @default.
• W3129847444 cites W2964267658 @default.
• W3129847444 cites W2971485350 @default.
• W3129847444 cites W3022641471 @default.
• W3129847444 cites W3084616869 @default.
• W3129847444 cites W3090657793 @default.
• W3129847444 cites W3100794478 @default.
• W3129847444 cites W3161267868 @default.
• W3129847444 cites W391578156 @default.
• W3129847444 cites W4249303611 @default.
• W3129847444 doi "https://doi.org/10.1515/acv-2020-0059" @default.
• W3129847444 hasPublicationYear "2020" @default.
• W3129847444 type Work @default.
• W3129847444 sameAs 3129847444 @default.
• W3129847444 citedByCount "7" @default.
• W3129847444 countsByYear W31298474442020 @default.
• W3129847444 countsByYear W31298474442021 @default.
• W3129847444 countsByYear W31298474442022 @default.
• W3129847444 countsByYear W31298474442023 @default.
• W3129847444 crossrefType "journal-article" @default.
• W3129847444 hasAuthorship W3129847444A5035775502 @default.
• W3129847444 hasAuthorship W3129847444A5040555478 @default.
• W3129847444 hasBestOaLocation W31298474442 @default.
• W3129847444 hasConcept C113196181 @default.
• W3129847444 hasConcept C121332964 @default.
• W3129847444 hasConcept C185592680 @default.
• W3129847444 hasConcept C192562407 @default.
• W3129847444 hasConcept C43617362 @default.
• W3129847444 hasConceptScore W3129847444C113196181 @default.
• W3129847444 hasConceptScore W3129847444C121332964 @default.
• W3129847444 hasConceptScore W3129847444C185592680 @default.
• W3129847444 hasConceptScore W3129847444C192562407 @default.
• W3129847444 hasConceptScore W3129847444C43617362 @default.
• W3129847444 hasFunder F4320321001 @default.
• W3129847444 hasIssue "4" @default.
• W3129847444 hasLocation W31298474441 @default.
• W3129847444 hasLocation W31298474442 @default.
• W3129847444 hasOpenAccess W3129847444 @default.
• W3129847444 hasPrimaryLocation W31298474441 @default.
• W3129847444 hasRelatedWork W2899084033 @default.
• W3129847444 hasRelatedWork W2902782467 @default.
• W3129847444 hasRelatedWork W2935759653 @default.
• W3129847444 hasRelatedWork W3105167352 @default.
• W3129847444 hasRelatedWork W3148032049 @default.
• W3129847444 hasRelatedWork W54078636 @default.
• W3129847444 hasRelatedWork W1501425562 @default.
• W3129847444 hasRelatedWork W2298861036 @default.
• W3129847444 hasRelatedWork W2954470139 @default.
• W3129847444 hasRelatedWork W3084825885 @default.
• W3129847444 hasVolume "15" @default.
• W3129847444 isParatext "false" @default.
• W3129847444 isRetracted "false" @default.
• W3129847444 magId "3129847444" @default.
• W3129847444 workType "article" @default.