Kim, Minhyun Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents. (English) Zbl 07746716 Ann. Mat. Pura Appl. (4) 202, No. 6, 2653-2664 (2023). MSC: 46E35 PDFBibTeX XMLCite \textit{M. Kim}, Ann. Mat. Pura Appl. (4) 202, No. 6, 2653--2664 (2023; Zbl 07746716) Full Text: DOI arXiv
Ben Ayed, Mohamed; Fourti, Habib Scalar curvature type problem on the three dimensional bounded domain. (English) Zbl 1389.35182 Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 1, 139-173 (2017). MSC: 35J91 35B38 35B44 35J20 35J25 PDFBibTeX XMLCite \textit{M. Ben Ayed} and \textit{H. Fourti}, Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 1, 139--173 (2017; Zbl 1389.35182) Full Text: DOI
Hakkarainen, Heikki; Nuortio, Matti The variable exponent Sobolev capacity and quasi-fine properties of Sobolev functions in the case \(p^-=1\). (English) Zbl 1347.46025 J. Math. Anal. Appl. 412, No. 1, 168-180 (2014). Reviewer: Jiří Rákosník (Praha) MSC: 46E35 31B15 PDFBibTeX XMLCite \textit{H. Hakkarainen} and \textit{M. Nuortio}, J. Math. Anal. Appl. 412, No. 1, 168--180 (2014; Zbl 1347.46025) Full Text: DOI
Esposito, Pierpaolo; Mancini, Gianni A nonlinear Lyapunov-Schmidt reduction and multiple solutions for some elliptic problem. (English) Zbl 1205.35114 Brezis, H. (ed.) et al., Topology methods, variational methods, and their applications. Proceedings of the ICM 2002 satellite conference on nonlinear functional analysis, Taiyuan, China, August 14–18, 2002. River Edge, NJ: World Scientific (ISBN 981-238-262-3/hbk). 107-116 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J65 35B33 PDFBibTeX XMLCite \textit{P. Esposito} and \textit{G. Mancini}, in: Topology methods, variational methods, and their applications. Proceedings of the ICM 2002 satellite conference on nonlinear functional analysis, Taiyuan, China, August 14--18, 2002. River Edge, NJ: World Scientific. 107--116 (2003; Zbl 1205.35114)
Li, Gongbao \(L^ \infty\) estimate for solutions of nonlinear elliptic equations in \(\mathbb{R}^ N\). (English) Zbl 0812.35041 Acta Math. Sci. 14, No. 1, 75-81 (1994). MSC: 35J60 35B45 PDFBibTeX XMLCite \textit{G. Li}, Acta Math. Sci. 14, No. 1, 75--81 (1994; Zbl 0812.35041)
Rey, O. Concentration of solutions to elliptic equations with critical nonlinearity. (English) Zbl 0761.35034 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 9, No. 2, 201-218 (1992). Reviewer: G.Hetzer (Auburn) MSC: 35J65 35B40 35J20 35J60 PDFBibTeX XMLCite \textit{O. Rey}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 9, No. 2, 201--218 (1992; Zbl 0761.35034) Full Text: DOI Numdam EuDML
Brézis, Haïm On some variational problem with limiting Sobolev exponent. (English) Zbl 0790.58013 Girardi, M. (ed.) et al., Progress in variational methods in Hamiltonian systems and elliptic equations. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 243, 42-51 (1992). Reviewer: M.Fuchs (Darmstadt) MSC: 58E30 49Q20 PDFBibTeX XMLCite \textit{H. Brézis}, Pitman Res. Notes Math. Ser. 243, 42--51 (1992; Zbl 0790.58013)
Wang, Shixiao The existence of a positive solution of semilinear elliptic equations with limiting Sobolev exponent. (English) Zbl 0735.35062 Proc. R. Soc. Edinb., Sect. A 117, No. 1-2, 75-88 (1991). Reviewer: M.A.Vivaldi (Roma) MSC: 35J65 PDFBibTeX XMLCite \textit{S. Wang}, Proc. R. Soc. Edinb., Sect. A, Math. 117, No. 1--2, 75--88 (1991; Zbl 0735.35062) Full Text: DOI
Rey, Olivier A multiplicity result for a variational problem with lack of compactness. (English) Zbl 0702.35101 Nonlinear Anal., Theory Methods Appl. 13, No. 10, 1241-1249 (1989). Reviewer: O.Rey MSC: 35J65 35A15 46E35 PDFBibTeX XMLCite \textit{O. Rey}, Nonlinear Anal., Theory Methods Appl. 13, No. 10, 1241--1249 (1989; Zbl 0702.35101) Full Text: DOI
Rey, Olivier Sur un problème variationnel non compact: L’effet de petits trous dans le domaine. (On a variational problem with lack of compactness: The effect of small holes in the domain). (French) Zbl 0686.35047 C. R. Acad. Sci., Paris, Sér. I 308, No. 12, 349-352 (1989). Reviewer: O.Rey MSC: 35J65 35B99 PDFBibTeX XMLCite \textit{O. Rey}, C. R. Acad. Sci., Paris, Sér. I 308, No. 12, 349--352 (1989; Zbl 0686.35047)
Mancini, Giovanni; Musina, Roberta Holes and obstacles. (English) Zbl 0666.35039 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 5, No. 4, 323-345 (1988). Reviewer: C.Bandle MSC: 35J85 35J65 35A15 35D10 35J20 58E35 PDFBibTeX XMLCite \textit{G. Mancini} and \textit{R. Musina}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 5, No. 4, 323--345 (1988; Zbl 0666.35039) Full Text: DOI Numdam EuDML
Struwe, Michael Critical points of embeddings of \(H_ 0^{1,n}\) into Orlicz spaces. (English) Zbl 0664.35022 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 5, No. 5, 425-464 (1988). Reviewer: J.E.Bouillet MSC: 35J60 58E15 35J20 PDFBibTeX XMLCite \textit{M. Struwe}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 5, No. 5, 425--464 (1988; Zbl 0664.35022) Full Text: DOI Numdam EuDML
Rey, Olivier Le rôle de la fonction de Green dans une équation elliptique non linéaire avec l’exposant critique de Sobolev. (The role of Green’s function in a nonlinear elliptic equation involving the critical Sobolev exponent). (French) Zbl 0638.35034 C. R. Acad. Sci., Paris, Sér. I 305, 591-594 (1987). Reviewer: O.Rey MSC: 35J65 35B20 46E35 35J20 PDFBibTeX XMLCite \textit{O. Rey}, C. R. Acad. Sci., Paris, Sér. I 305, 591--594 (1987; Zbl 0638.35034)
Cerami, G.; Solimini, S.; Struwe, M. Some existence results for superlinear elliptic boundary value problems involving critical exponents. (English) Zbl 0614.35035 J. Funct. Anal. 69, 289-306 (1986). Reviewer: Xu Zhenyuan MSC: 35J65 35J20 35D05 46E35 PDFBibTeX XMLCite \textit{G. Cerami} et al., J. Funct. Anal. 69, 289--306 (1986; Zbl 0614.35035) Full Text: DOI
Brézis, Haïm; Nirenberg, Louis Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. (English) Zbl 0541.35029 Commun. Pure Appl. Math. 36, 437-477 (1983). Reviewer: K.Chang MSC: 35J60 35J20 35A05 PDFBibTeX XMLCite \textit{H. Brézis} and \textit{L. Nirenberg}, Commun. Pure Appl. Math. 36, 437--477 (1983; Zbl 0541.35029) Full Text: DOI