Spectrum and constant sign solutions for a fractional Laplace problem with sign-changing weight
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DOI: 10.1016/j.jmaa.2019.123528
Abstract: Abstract In this paper, we study the spectrum of the fractional Laplace operator with sign-changing weight and show that there exist two simple, isolated principal eigenvalues λ 1 + and λ 1 − . By… read more here.
Keywords: constant sign; fractional laplace; sign solutions; sign ... See more keywords
Global structure of one-sign solutions for problem with mean curvature operator
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DOI: 10.1088/1361-6544/aadf43
Abstract: We establish a unilateral global bifurcation result for the following problem where Ω is a bounded domain in . Based on this global bifurcation result, we also studied the global structure of one-sign solutions according… read more here.
Keywords: one sign; sign solutions; global structure; structure one ... See more keywords
Constant Sign Solutions to Linear Fractional Integral Problems and Their Applications to the Monotone Method
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DOI: 10.3390/math8020156
Abstract: This manuscript provides some results concerning the sign of solutions for linear fractional integral equations with constant coefficients. This information is later used to prove the existence of solutions to some nonlinear problems, together with… read more here.
Keywords: solutions linear; constant sign; integral problems; sign solutions ... See more keywords