?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Facta.bibl.u-szeged.hu%2F82262%2F&rft.title=Existence+of+nontrivial+weak+solutions+for+nonuniformly+elliptic+equation+with+mixed+boundary+condition+in+a+variable+exponent+Sobolev+space&rft.creator=+Aramaki+Junichi&rft.description=In+this+paper%2C+we+consider+a+mixed+boundary+value+problem+for+nonuniformly+elliptic+equation+in+a+variable+exponent+Sobolev+space+containing+p(%C2%B7)-Laplacian+and+mean+curvature+operator.+More+precisely%2C+we+are+concerned+with+the+problem+with+the+Dirichlet+condition+on+a+part+of+the+boundary+and+the+Steklov+boundary+condition+on+an+another+part+of+the+boundary.+We+show+the+existence+of+a+nontrivial+weak+solution+and+at+least+two+nontrivial+weak+solutions+according+to+some+hypotheses+on+given+functions.&rft.date=2023&rft.type=Foly%C3%B3irat&rft.type=NonPeerReviewed&rft.format=full&rft.language=hu&rft.identifier=http%3A%2F%2Facta.bibl.u-szeged.hu%2F82262%2F1%2Fejqtde_2023_012.pdf&rft.identifier=+++Aramaki+Junichi%3A+++Existence+of+nontrivial+weak+solutions+for+nonuniformly+elliptic+equation+with+mixed+boundary+condition+in+a+variable+exponent+Sobolev+space.++(2023)+++&rft.language=eng