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On the existence of three solutions for the Dirichlet problem on the Sierpinski gasketBreckner, Brigitte E. ; Repovš, Dušan, 1954- ; Varga, Csaba, 1959-Z uporabo izreka o treh kritičnih točkah, ki ga je nedavno dokazal B. Ricceri, dokažemo obstoj vsaj treh rešitev določenega dvoparametričnega Dirichletovega problema, definiranega na trikotniku ... Sierpinskega. Z uporabo izrekov o gorskem prelazu, ki so jih dokazali Ambrosetti in Rabinowitz ter Pucci in Serrin, dokažemo tudi obstoj vsaj treh neničelnih rešitev določenega perturbiranega dvoparametričnega Dirichletovega problema, definiranega na trikotniku Sierpinskega.Source: Nonlinear Analysis. Theory, Methods and Applications. - ISSN 0362-546X (Vol. 73, no. 9, 2010, str. 2980-2990)Type of material - article, component partPublish date - 2010Language - englishCOBISS.SI-ID - 15657049
Author
Breckner, Brigitte E. |
Repovš, Dušan, 1954- |
Varga, Csaba, 1959-
Topics
matematika |
parcialne diferencialne enačbe |
trikotnik Sierpinskega |
šibka Laplaceova enačba |
Dirichletov problem |
šibka rešitev |
kritična točka |
izrek o minimumu in maksimumu |
izreki o gorskem prelazu |
mathematics |
partial differential equations |
Sierpiński gasket |
weak Laplacian |
Dirichlet problem on the Sierpiński gasket |
weak solution |
critical point |
minimax theorems |
mountain pass theorems
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Breckner, Brigitte E. | |
Repovš, Dušan, 1954- | 07083 |
Varga, Csaba, 1959- |
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