20.500.12556/RUL-128912 Nodal solutions for double phase Kirchhoff problems with vanishing potentials We consider the following ▫$(p,q)$▫-Laplacian Kirchhoff type problem ▫$$-\left(a+b \int_{\mathbb{R}^3}|\nabla u|^p dx\right)\Delta_pu - \left(c+d \int_{\mathbb{R}^3}|\nabla u|^q dx\right) \Delta_qu$$▫ ▫$$+V(x)(|u|^{p-2}u+|u|^{q-2}u)= =K(x)f(u) \quad \text{in}\mathbb{R}^3,$$▫ where $a,b,c,d>0$ are constants, ▫$\frac{3}{2}<p<q<3$▫, ▫$V:\mathbb{R}^3 \to \mathbb{R}$▫ and ▫$K:\mathbb{R}^3 \to \mathbb{R}$▫ are positive continuous functions allowed for vanishing behavior at infinity, and ▫$f$▫ is a continuous function with quasicritical growth. Using a minimization argument and a quantitative deformation lemma we establish the existence of nodal solutions. (p q)-Kirchhoff nodal solutions vanishing potentials Nehari manifold true false true Angleški jezik Angleški jezik Neznano 2021-08-16 07:29:23 2021-08-16 07:29:28 2022-09-07 04:17:36 0000-00-00 00:00:00 2021 0 0 Str. 371-396 Iss. 3-4 Vol. 124 2021 0000-00-00 PostprintKoncna NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.956 0921-7134 10.3233/ASY-201648 33039619 RAZ_Isernia_Teresa_2021.pdf RAZ_Isernia_Teresa_2021.pdf 1 B252726C2601F1212E8D300737B8D6FD c05f929fa1ed1116244cd36f978f69ed70381377d186c85cf8805da8d1a144cf e278bef3-fe80-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=145821 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0