Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 58, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2020.103217
Keywords
Nonhomogeneous differential operator; Nonlinear regularity theory; Truncation; Strong comparison principle; Positive solutions
Categories
Funding
- Slovenian Research Agency [P1-0292, J1-8131, J1-7025, N1-0064, N1-0083]
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This study explores a nonlinear Robin problem driven by the sum of p-Laplacian and q-Laplacian, considering competing effects of a singular term and a parametric perturbation. Using variational tools and comparison techniques, the study proves a bifurcation-type result describing changes in the set of positive solutions as the parameter lambda > 0 varies.
We consider a nonlinear Robin problem driven by the sum of p-Laplacian and q-Laplacian (i.e. the (p, q)-equation). In the reaction there are competing effects of a singular term and a parametric perturbation lambda f (z, x), which is Caratheodory and (p - 1)-superlinear at x is an element of R, without satisfying the Ambrosetti-Rabinowitz condi-tion. Using variational tools, together with truncation and comparison techniques, we prove a bifurcation-type result describing the changes in the set of positive solutions as the parameter lambda > 0 varies. (C) 2020 Elsevier Ltd. All rights reserved.
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