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arXiv · 2304.04201

Constant sign and nodal solutions for parametric anisotropic $(p,2)$-equations

Nikolaos S. Papageorgiou·Dušan D. Repovš·Calogero Vetro
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Abstract

We consider an anisotropic $(p,2)$-equation, with a parametric and superlinear reaction term. We show that for all small values of the parameter the problem has at least five nontrivial smooth solutions, four with constant sign and the fifth nodal (sign-changing). The proofs use tools from critical point theory, truncation and comparison techniques, and critical groups.

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Nikolaos S. Papageorgiou, Dušan D. Repovš, Calogero Vetro. 2023-04-09. Constant sign and nodal solutions for parametric anisotropic $(p,2)$-equations. https://doi.org/10.1080/00036811.2021.1971199

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