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Oznake: Kirchhoff system;Heisenberg group;critical exponential growth;variational method;
In this paper, existence of solutions is established for critical exponential Kirchhoff systems on the Heisenberg group by using the variational method. The novelty of our paper is that not only the nonlinear term has critical exponential growth, but also that Kirchhoff function covers the degenerat ...
Leto: 2023 Vir: Fakulteta za matematiko in fiziko (UL FMF)
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Oznake: fourth-order elliptic equation;Kirchhoff problem;critical exponent;variational methods;nodal solution;
We consider a class of fourth-order elliptic equations of Kirchhoff type with critical growth in ▫$\mathbb{R}^N$▫. By using constrained minimization in the Nehari manifold, we establish sufficient conditions for the existence of nodal (that is, sign-changing) solutions.
Leto: 2021 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 2
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