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Volume 37, Issue 2
Deformation Argument under PSP Condition and Applications

Silvia Cingolani & Kazunaga Tanaka

Anal. Theory Appl., 37 (2021), pp. 191-208.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this paper we introduce a new deformation argument, in which $C^0$-group action and a new type of Palais-Smale condition PSP play important roles. This type of deformation results are studied in [17,21] and has many different applications [10, 11, 17, 21] et al. Typically it can be applied to nonlinear scalar field equations. We give a survey in an abstract functional setting. We also present another application to nonlinear elliptic problems in strip-like domains. Under conditions related to [5,6], we show the existence of infinitely many solutions. This extends the results in [8].

  • AMS Subject Headings

35B38, 35J20, 58E05

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COPYRIGHT: © Global Science Press

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@Article{ATA-37-191, author = {Cingolani , Silvia and Tanaka , Kazunaga}, title = {Deformation Argument under PSP Condition and Applications}, journal = {Analysis in Theory and Applications}, year = {2021}, volume = {37}, number = {2}, pages = {191--208}, abstract = {

In this paper we introduce a new deformation argument, in which $C^0$-group action and a new type of Palais-Smale condition PSP play important roles. This type of deformation results are studied in [17,21] and has many different applications [10, 11, 17, 21] et al. Typically it can be applied to nonlinear scalar field equations. We give a survey in an abstract functional setting. We also present another application to nonlinear elliptic problems in strip-like domains. Under conditions related to [5,6], we show the existence of infinitely many solutions. This extends the results in [8].

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2021.pr80.03}, url = {http://global-sci.org/intro/article_detail/ata/18771.html} }
TY - JOUR T1 - Deformation Argument under PSP Condition and Applications AU - Cingolani , Silvia AU - Tanaka , Kazunaga JO - Analysis in Theory and Applications VL - 2 SP - 191 EP - 208 PY - 2021 DA - 2021/04 SN - 37 DO - http://doi.org/10.4208/ata.2021.pr80.03 UR - https://global-sci.org/intro/article_detail/ata/18771.html KW - Deformation theory, nonlinear elliptic equations, radially symmetric solutions, strip-like domains, Pohozaev functional. AB -

In this paper we introduce a new deformation argument, in which $C^0$-group action and a new type of Palais-Smale condition PSP play important roles. This type of deformation results are studied in [17,21] and has many different applications [10, 11, 17, 21] et al. Typically it can be applied to nonlinear scalar field equations. We give a survey in an abstract functional setting. We also present another application to nonlinear elliptic problems in strip-like domains. Under conditions related to [5,6], we show the existence of infinitely many solutions. This extends the results in [8].

Silvia Cingolani & Kazunaga Tanaka. (1970). Deformation Argument under PSP Condition and Applications. Analysis in Theory and Applications. 37 (2). 191-208. doi:10.4208/ata.2021.pr80.03
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