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
URI: 2-s2.0-85061742638
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
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