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Existence of radial solutions for a $p(x)$-Laplacian Dirichlet problem [PDF]
Advances in Difference Equations, 2021 AbstractIn this paper, using variational methods, we prove the existence of at least one positive radial solution for the generalized$p(x)$p(x)-Laplacian problem$$ -\Delta _{p(x)} u + R(x) u^{p(x)-2}u=a (x) \vert u \vert ^{q(x)-2} u- b(x) \vert u \vert ^{r(x)-2} u $$−Δp(x)u+R(x)up(x)−2u=a(x)|u|q(x)−2u−b(x)|u|r(x)−2uwith Dirichlet boundary condition in ...Maria Alessandra Ragusa, A. Razani, Farzaneh Safari +2 moreopenaire +4 more sourcesObservation of $J / ψ$ Electromagnetic Dalitz Decays to $X ( 1835 ) , X ( 2120 )$, and $X ( 2370 )$ [PDF]
, 2022 Using a sample of about 10^{10} J/ψ events collected at a center-of-mass energy sqrt[s]=3.097 GeV with the BESIII detector, the electromagnetic Dalitz decays J/ψ→e^{+}e^{-}π^{+}π^{-}η^{'}, with η^{'}→γπ^{+}π^{-} and η^{'}→π^{+}π^{-}η, have been studied.Yu, B. X., Li, D M, Sun, Z T, Hu, J F, Luo, M. X., Xu, Q J, Gao, Y., Shen, C P, Destefanis, M, Wang, X. F., Yu, G., Heinsius, F H, Patteri, P, Dai, H L, Yuan, C Z, Gao, Y G, Larin, P, Lavezzi, L., Wen, S. P., Cai, H., Shi, X., Xu, W, Sun, G. X., Qu, S. Q., Kolcu, O. B., Chen, D Y, Qi, M., Poling, R, Li, P. R., Xu, X. P., Mangoni, A, Zhang, S., Libby, J, Zhao, Ling, Bianchi, F., Feng, J. H., Jin, S, Nikolaev, I. B., White, D J, Jin, Y, Ma, Q M, Xiao, Z. J., Li, S Y, Lou, X C, Ping, J L, Zhou, X., Schelhaas, Y, Ye, M. H., Boyko, I., Gersabeck, E. M., Xu, G. F., Ji, Q., Nefedov, Y, Tang, G Y, Adlarson, P, Zhou, Q., Qi, M, Zhu, T. J., Wang, X F, Wang, Y. F., Shi, H. C., Du, S X, Wang, X L, Nerling, F., Wang, M. Z., Wang, L. L., Heinsius, F. H., Gao, Y. G., Malik, Q A, Zheng, B., Liu, M H, Denysenko, I., Lu, Y., Maas, F. E., Uman, I., Shao, M, Adlarson, P., Zhang, A. Q., Zhang, Shulei, Cao, G F, Qi, H, Sun, W. Y., Yu, C. X., Shan, W., Shangguan, J F, You, Z Y, Himmelreich, M., Zhong, C., Fang, S. S., Chang, J. F., Fan, Y. L., Kiuchi, R, Wang, Zongyuan, Zhang, Z Y, Libby, J., Lin, C. X., Weidner, F., Meng, Z X, Ke, B. C., Guskov, A, Ban, Y., Harris, F A, Zhang, Z H, Lyu, X R, Lenz, T, Kuessner, M., Lellmann, M., Liu, Shuai, Wollenberg, L, Gilman, A., Chen, S J, Malde, S, Rashid, K H, Lellmann, M, Rivetti, A., Sun, S. S., Maas, F E, Fu, C. D., Zhang, Y., Kiese, P., Liu, F. H., Wei, D H, Zhang, B. X., Xing, T. Y., Liu, S B, Cao, G. F., Liao, L Z, Bakina, O., Zhao, Y. B., An, Q., Teng, J X, Hu, Y, Zheng, B, Rivetti, A, Zheng, J. P., Wang, C W, Hu, T, Jiang, X. S., Kiuchi, R., Kupsc, A, Song, W M, Wang, Y. D., Zhang, Yi, Ye, M H, Lu, Y. P., Ge, P. T., Shi, H C, Rashid, K. H., Wu, Z, Yang, S. L., Wu, X, Maggiora, M, Liu, D., Zhao, G., Pelizaeus, M., Zhu, S. H., Herold, C., Bertani, M., Yang, Yifan, Deng, Z Y, Yuan, Y., Lu, X. L., Malik, Q. A., Bettoni, D, Fang, Y., Keshk, I K, Luo, X. L., Liang, Y. F., Luo, T., Kopf, B., Chelkov, G., Chen, X. R., Lu, J G, Yu, G, Lu, J D, Li, L. K., Gu, S, Maggiora, M., Luo, P W, Hu, H M, Zheng, J P, Feldbauer, F, Hou, Y R, Rump, M., Hao, X Q, Ouyang, Q, Prasad, V, Huang, Y. P., Balossino, I, Johansson, T., Song, Y X, Keshk, I. K., Yu, T, Yin, J. H., Min, T J, Kang, X S, Shen, P X, Liu, Huanhuan, Liu, Huihui, Yang, L., Qi, K. H., Gradl, W, Nisar, S., Rong, G, Mangoni, A., Zheng, Y, Zheng, Y H, Ablikim, M., Bortone, A., Chang, W. L., Liu, B J, Qian, W B, Nerling, F, Zafar, A. A., Dong, X., Yuncu, A, Kurth, M. G., Cossio, F., Zhao, J., Jiang, H. B., Zhao, J. Z., Cai, X, Zhemchugov, A, Kupsc, A., Cui, X F, Li, L K, Fava, L., Chen, Y. B., Qiu, J F, Qin, L. Q., Bai, X H, Cai, H, Khoukaz, A., Wang, Z., Zhang, L. M., Zhao, J. Y., Harris, F. A., Meng, Z. X., Wang, H. P., Ma, X Y, Ma, X X, Xiao, H, Nefedov, Y., Liu, W M, Zhemchugov, A., Cheng, W S, An, Q, Wang, Y., White, D. J., Song, Y. X., Wang, Y. Y., Rodin, V, Su, K X, Wang, B, Janchiv, S., Marcello, S., Garzia, I, Feng, C Q, Zheng, Y. H., Wang, K, Wang, M, Zhang, Z. H., Aliberti, R, Wang, X, Wang, W, Schnier, C., Holtmann, T, Luo, C L, Wang, Z, Liu, H M, Wang, Y, Hou, G. Y., Zhang, S F, Rosner, Ch, Jiao, J. B., Shen, H. F., Ikegami Andersson, W., Mao, Z P, Nikolaev, I B, Yu, B X, Ahmed, S, Ji, Y Y, Lane, J. J., Felici, G, Zhao, M G, Xiao, Z J, Gong, W X, Ji, Q. P., Yuan, Z Y, Wolke, M, Li, Lei, Ji, Y. Y., Liu, B. J., Li, Ke, Zhao, Y. X., Li, J L, Li, J Q, Liu, H. M., Li, J S, Ma, H. L., Shao, M., Pacetti, S, Farinelli, R, Hüsken, N, Ma, F. C., Ye, M., Zhang, B X, Liu, K. Y., Amoroso, A, Zou, B. S., Chen, H. S., Wiedner, U., Pelizaeus, M, Guan, C Y, Cao, N., Jing, M Q, Cetin, S. A., Yang, S L, Lu, F. X., Li, H, Li, G, Gu, L M, Li, F, Li, C, Qin, L Q, Wang, Z. 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J., De Mori, F., Su, P P, Begzsuren, K, Li, H. B., Ma, R Q, Pettersson, J, An, M. R., Nakhoul, S., Ma, R T, Muchnoi, N Yu, Liang, H., Uman, I, Tan, Y. H., Wu, X., Liao, L. Z., Zhang, J. Y., Fan, Y L, Jin, S., Pan, Y, Song, W. M., Pan, X, Rodin, V., Heinz, C. H., Zhang, J. Z., He, K. L., Wang, X., Chen, G., Herold, C, Chen, G, Tang, J, Wollenberg, L., Liu, C. X., Hussain, T, Zhao, S J, Zheng, Y., Kavatsyuk, M., Hou, Z L, Zhu, K., Qin, X. S., Farinelli, R., Rolo, M, Gu, Y T, Fava, L, Wang, W., Wang, D Y, You, Z. Y., Peters, K., Ablikim, M, Albrecht, M., Holtmann, T., Mao, Z. P., Zhao, Q., Xiao, S. Y., Qi, K H, Zafar, A A, Lu, J. G., Lu, H J, Liu, P. L., Jing, M. Q., Xu, Y C, Sun, H. K., Ma, H L, Kliemt, R, Song, J J, Ma, R. T., Zhao, M. G., Liu, Fang, Liu, K., Dong, J., Yu, C X, Mao, Y J, Tan, Y X, Lu, Y P, Liang, Y. T., Ding, Y., Li, C. H., Huang, G S, Heng, Y K, Yuan, C. Z., Baldini Ferroli, R, Tan, Y H, Xu, Y. C., Tang, G. Y., Chang, W L, Marcello, S, Nisar, S, Liu, L., Zhang, H. 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H., Baldini Ferroli, R., Sun, X., Liu, Feng, Bianchi, F, Zhang, H., Wang, Z Y, Rosner, Ch., Zhang, X D, Wu, L H, Wu, L J, Li, W. G., Mo, X. H., Tian, Y T, Zhao, Lei, Zhong, B., Fang, J., Liu, M. H., Garzia, I., Liu, K Y, Sarantsev, A, Zhao, J Y, Ma, X. X., Shen, X. Y., Berger, N, Pacetti, S., Zhao, J Z, Han, W Y, Xie, Y. H., Guo, Y P, Sun, Z. T., Li, J. Q., Zhao, Y X, Zhang, X Y, Liu, T., Ma, X. Y., Qian, S, Mo, Y. J., Sun, W Y, Kuemmel, M, Su, K. X., Zhao, Y B, Zhang, S. F., Qian, Z, Sosio, S, Felici, G., Zhang, X. Y., Hu, Y., Hussain, T., Wang, B., Gong, L, Lu, Y, Dong, C., Li, X. L., Lu, F X, Tang, C J, Qi, H., Li, J. S., Wang, Meng, Dong, X, Dong, L Y, Peters, K, Berger, N., Lu, H. J., Zhang, Guangyi, Yue, C. X., Cetin, S A, Cheng, W. S., Messchendorp, J G, Messchendorp, J. G., Janchiv, S, Khoukaz, A, Feng, J H, Lange, J S, Fang, Y, Held, T., Patteri, P., Tian, Y. T., Cui, X. F., Tian, W H, Fang, J, Koch, L., Kühn, W., Malde, S., Zhou, X. Y., An, M R, Pathak, A., Kiese, P, Qin, X P, Liu, X., Xie, X. H., Nakhoul, S, Rump, M, Wang, M Z, Yan, F., Cao, N, Shi, X, Sarantsev, A., Wu, J F, Dong, C, Liu, Z A, Dbeyssi, A, Sun, L, Liu, Y., Shen, H F, Sang, H S, Yang, Zhi, Jiang, H B, Sun, T, Xie, Y H, Denig, A, Xie, Y G, Ping, J. L., Gersabeck, E M, Liu, Z Q, Xia, L, Li, X. H., Li, W. D., Dong, J, Sun, X, Qin, X S +955 morecore +1 more sourceInhomogeneous minimization problems for the p(x)-Laplacian [PDF]
Journal of Mathematical Analysis and Applications, 2019 We study an inhomogeneous minimization problems associated to the $p(x)$-Laplacian. We make a thorough analysis of the essential properties of their minimizers and we establish a relationship with a suitable free boundary problem. On the one hand, we study the problem of minimizing the functional $J(v)=\int_Ω\Big(\frac{|\nabla v|^{p(x)}}{p(x)}+λ(x)χ_{\{Lederman, Claudia, Wolanski, Noemiopenaire +2 more sourcesNear infra-red light treatment of Alzheimer’s disease [PDF]
Journal of Innovative Optical Health Sciences, 2018 Alzheimer’s disease (AD) is a chronic neurodegenerative disease. The symptoms include memory and spatial learning difficulties, language disorders, and loss of motivation, which get worse over time, eventually ending in death. No effective treatments are Mengmeng Han, Qiyan Wang, Xue Wang, Yuhui Zeng, Yong Huang, Qingqiang Meng, Jun Zhang, Xunbin Wei +7 moredoaj +1 more sourceA free boundary problem for the -Laplacian [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2010 We consider the optimization problem of minimizing $\int_Ω|\nabla u|^{p(x)}+ λχ_{\{u>0\}} dx$ in the class of functions $W^{1,p(\cdot)}(Ω)$ with $u-ϕ_0\in W_0^{1,p(\cdot)}(Ω)$, for a given $ϕ_0\geq 0$ and bounded. $W^{1,p(\cdot)}(Ω)$ is the class of weakly differentiable functions with $\int_Ω|\nabla u|^{p(x)} dx0\}$, is a regular surface.Fernandez Bonder, Julian, Martinez, Sandra Rita, Wolanski, Noemi Irene +2 moreopenaire +4 more sources
