Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations
Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations
Abstract In the present paper, a class of Schrödinger equations is investigated, which can be stated as <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="block"> <m:mrow> <m:mo>−</m:mo> <m:mo>Δ</m:mo> <m:mi>u</m:mi> <m:mo>+</m:mo> <m:mi>V</m:mi> <m:mo stretchy="false">(</m:mo> <m:mi>x</m:mi> <m:mo stretchy="false">)</m:mo> <m:mi>u</m:mi> <m:mo>=</m:mo> <m:mi>f</m:mi> <m:mo stretchy="false">(</m:mo> <m:mi>u</m:mi> <m:mo stretchy="false">)</m:mo> <m:mo>,</m:mo> <m:mo> </m:mo> <m:mo> </m:mo> <m:mo> </m:mo> <m:mo> </m:mo> <m:mi>x</m:mi> <m:mo>∈</m:mo> …