Fucik Spectrum, Sign-Changing, and Multiple Solutions for Semilinear Elliptic Boundary Value Problems with Resonance at Infinity

50 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Existence of five nonzero solutions with exact sign for A p-laplacian equation (2009, methodology): “Roughly speaking, from these works emerged two approaches to the problem: (a) combining the method of upper-lower solutions with variational techniques (see Dancer-Du [18, 19, 20]); (b) using invariance properties of the negative gradient flow associated to a well-chosen pseudo-gradient vector field”
Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow (2006, background): “so C(U)\Z is a bounded neighborhood of 0 in Z. Denote by V its connected component containing 0. By Lemma 2 of Dancer and Zhang [ 9 ], @V has a connected component that intersects each one sided ray in”