Abstract In this paper, we study a class of ( p , q )-Schrödinger–Kirchhoff type equations involving continuous positive potential satisfying del Pino–Felmer conditions and nonlinearity with subcritical growth at infinity. By applying variational methods, penalization techniques Lusternik–Schnirelman category theory, relate the number solutions topology set where attains its minimum values.

Traditional [0, 1]-based fuzzy sets were originally invented to describe expert knowledge expressed in terms of imprecise (“fuzzy”) words from natural language. To make this description more adequate, several generalizations of the traditional [0, 1]-based fuzzy sets have been proposed, among them type-2 fuzzy sets and Z-numbers. The main objective of this paper is to study the relation between...

We show that for each α > 0 every sufficiently large oriented graph G with δ(G), δ−(G) ≥ 3|G|/8 + α|G| contains a Hamilton cycle. This gives an approximate solution to a problem of Thomassen [21]. In fact, we prove the stronger result that G is still Hamiltonian if δ(G) + δ(G) + δ−(G) ≥ 3|G|/2 + α|G|. Up to the term α|G| this confirms a conjecture of Häggkvist [10]. We also prove an Ore-type th...