Positive Solutions for a Class of Nonresonant Boundary-value Problems
نویسنده
چکیده
This paper concerns the existence and multiplicity of positive solutions to the nonresonant second-order boundary-value problem Lx = λw(t)f(t, x). We are interested in the operator Lx := −x′′ + ρqx when w is in Lp for 1 ≤ p ≤ +∞. Our arguments are based on fixed point theorems in a cone and Hölder’s inequality. The nonexistence of positive solutions is also studied.
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