| Title: | On the Fredholm-type theorems and sign properties of solutions for (p,q)-Laplace equations with two parameters |
| Authors: | Bobkov, Vladimír Tanaka, Mieko |
| Citation: | BOBKOV, V., TANAKA, M. On the Fredholm-type theorems and sign properties of solutions for (p,q)-Laplace equations with two parameters. Annali di matematica pura ed applicata, 2019, roč. 198, č. 5, s. 1651-1673. ISSN 0373-3114. |
| Issue Date: | 2019 |
| Publisher: | Springer |
| Document type: | článek article |
| URI: | 2-s2.0-85061742638 http://hdl.handle.net/11025/36211 |
| ISSN: | 0373-3114 |
| Keywords in different language: | (p, q)-Laplacian;Fredholm alternative;Existence of solutions;Positive solutions;Maximum principle;Linking method. |
| Abstract in different language: | We consider the Dirichlet problem for the nonhomogeneous equation -Delta pu-Delta qu=alpha |u|p-2u+beta |u|q-2u+f(x) in a bounded domain, where p not equal q, and alpha,beta is an element of R are parameters. We explore assumptions on alpha and beta that guarantee the resolvability of the considered problem. Moreover, we introduce several curves on the (alpha,beta)-plane allocating sets of parameters for which the problem has or does not have positive or sign-changing solutions, provided f is of a constant sign. |
| Rights: | Plný text není přístupný. © Springer Verlag |
| Appears in Collections: | Články / Articles (NTIS) OBD |
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