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Oznake: fractional Laplacian;variational method;multiple solutions;
In this paper, we examine the existence of multiple solutions of parametric fractional equations involving the square root of the Laplacian ▫$A_{1/2}$▫ in a smooth bounded domain ▫$\Omega \subset \mathbb{R}^n$▫ ▫$(n \ge 2)$▫ and with Dirichlet zero-boundary conditions, i.e. ▫$$ \begin{cases} A_{1/2} ...
Leto: 2017 Vir: Fakulteta za matematiko in fiziko (UL FMF)
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By using variational techniques we provide new existence results for Yamabe-type equations with subcritical perturbations set on a compact ▫$d$▫-dimensional (▫$d \ge 3$▫) Riemannian manifold without boundary. As a direct consequence of our main theorems, we prove the existence of at least one soluti ...
Leto: 2020 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 2
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