Cone Sobolev inequality and Dirichlet problem for nonlinear elliptic equations on a manifold with conical singularities
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s00526-011-0418-7.pdf
Reference12 articles.
1. Ambrosetti A., Rabinowitz P.H.: Dual variational methods in critical point theory and applications. J. Funct. Anal. 14, 349–381 (1973)
2. Brezis H., Nirenberg L.: Positive solutions of nonlinear elliptic equations invovling critical Sobolev exponent. Commun. Pure Appl. Math. 36, 437–477 (1983)
3. Chen H., Liu X., Wei Y.: Existence theorem for a class of semilinear totally characteristic elliptic equations with critical cone Sobolev exponents. Ann. Glob. Anal. Geom. 39, 27–43 (2011)
4. Coriasco S., Schrohe E., Seiler J.: Realizations of differential operators on conic manifolds with boundary. Ann. Glob. Anal. Geom. 31, 223–285 (2007)
5. Egorov, Ju.V., Schulze, B.-W.: Pseudo-differential operators, singularities, applications. In: Operator Theory, Advances and Applications, vol. 93. Birkhäuser Verlag, Basel (1997)
Cited by 48 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Existence and blow-up of solutions for a class of semilinear pseudo-parabolic equations with cone degenerate viscoelastic term;Journal of Pseudo-Differential Operators and Applications;2024-02-12
2. A class of viscoelastic evolution equation on manifolds with conical singularities;Evolution Equations and Control Theory;2024
3. Initial boundary value problem for semilinear hyperbolic equations with weakly damping term on conical manifolds with critical and supcritical initial data;Discrete and Continuous Dynamical Systems - S;2024
4. Existence of Solutions for Biharmonic Equations on Conical Singular Manifolds;The Journal of Geometric Analysis;2023-08-10
5. Higher Regularity and Finite Time Blow-up to Nonlocal Pseudo-parabolic Equation with Conical Degeneration;Applied Mathematics & Optimization;2023-06-23
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3