Nodal solutions for double phase Kirchhoff problems with vanishing potentials
Teresa Isernia, Dušan D. Repovš
Abstract
We consider the following [Formula: see text]-Laplacian Kirchhoff type problem [Formula: see text] where [Formula: see text] are constants, [Formula: see text], [Formula: see text] and [Formula: see text] 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.
Topics & Concepts
MathematicsMathematical analysisLemma (botany)Type (biology)NODALFunction (biology)MinificationDeformation (meteorology)Phase (matter)PhysicsContinuous function (set theory)Zero (linguistics)Mathematical physicsNonlinear Partial Differential EquationsSolidification and crystal growth phenomenaStability and Controllability of Differential Equations