Infinitely Many Solutions for Singular p(x)‐Laplacian Equation Without the Ambrosetti–Rabinowitz (AR) Condition
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DOI: 10.1002/mma.10760
Abstract: We establish the existence of infinitely many nonnegative solutions to the following nonlocal elliptic partial differential equation with singularity: (−Δ)p(·)su=λ|u|γ(x)−1u+f(x,u)inΩ,u=0inℝN∖Ω,$$ {\displaystyle \begin{array}{cc}\hfill {\left(-\Delta \right)}_{p\left(\cdotp \right)}^su& =\frac{\lambda }{{\left|u\right|}^{\gamma (x)-1}u}+f\left(x,u\right)\kern0.3em \mathrm{in}\kern0.3em \Omega, \hfill \\ {}\hfill u& =0\kern0.3em… read more here.
Keywords: equation; overline omega; kern0 3em; infinitely many ... See more keywords