@article {MandelMoitierVerfuerth2022, AUTHOR = {Mandel, Rainer and Moitier, Zo\"{i}s and Verf\"{u}rth, Barbara}, TITLE = {Nonlinear {H}elmholtz equations with sign-changing diffusion coefficient}, JOURNAL = {C. R. Math. Acad. Sci. Paris}, FJOURNAL = {Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris}, VOLUME = {360}, YEAR = {2022}, PAGES = {513--538}, ISSN = {1631-073X}, MRCLASS = {35B32 (47A10)}, DOI = {10.5802/crmath.322}, URL = {https://doi.org/10.5802/crmath.322}, }