Iagar, Razvan Gabriel; Latorre, Marta; Sánchez, Ariel Eternal solutions in exponential self-similar form for a quasilinear reaction-diffusion equation with critical singular potential. (English) Zbl 07815098 Discrete Contin. Dyn. Syst. 44, No. 5, 1329-1353 (2024). MSC: 35C06 35A24 35B33 35K57 35K65 PDFBibTeX XMLCite \textit{R. G. Iagar} et al., Discrete Contin. Dyn. Syst. 44, No. 5, 1329--1353 (2024; Zbl 07815098) Full Text: DOI arXiv
Iagar, Razvan Gabriel; Sánchez, Ariel Radial equivalence and applications to the qualitative theory for a class of nonhomogeneous reaction-diffusion equations. (English) Zbl 07793798 Math. Methods Appl. Sci. 46, No. 14, 15799-15827 (2023). MSC: 35K57 35A22 35B07 35B33 35B44 35C06 35K57 PDFBibTeX XMLCite \textit{R. G. Iagar} and \textit{A. Sánchez}, Math. Methods Appl. Sci. 46, No. 14, 15799--15827 (2023; Zbl 07793798) Full Text: DOI arXiv
Iagar, Razvan Gabriel; Muñoz, Ana Isabel; Sánchez, Ariel Self-similar solutions preventing finite time blow-up for reaction-diffusion equations with singular potential. (English) Zbl 1511.35068 J. Differ. Equations 358, 188-217 (2023). MSC: 35C06 35A24 35B44 35K15 35K57 35K65 PDFBibTeX XMLCite \textit{R. G. Iagar} et al., J. Differ. Equations 358, 188--217 (2023; Zbl 1511.35068) Full Text: DOI arXiv
Iagar, Razvan Gabriel; Sánchez, Ariel A special self-similar solution and existence of global solutions for a reaction-diffusion equation with Hardy potential. (English) Zbl 1498.35141 J. Math. Anal. Appl. 517, No. 1, Article ID 126588, 22 p. (2023). MSC: 35C06 35K57 35K59 35K65 35K67 PDFBibTeX XMLCite \textit{R. G. Iagar} and \textit{A. Sánchez}, J. Math. Anal. Appl. 517, No. 1, Article ID 126588, 22 p. (2023; Zbl 1498.35141) Full Text: DOI arXiv
Kömbe, Ismail; Balekoğlu, Reyhan Tellioğlu Doubly nonlinear parabolic equations with Robin boundary conditions. (English) Zbl 07781383 Math. Methods Appl. Sci. 45, No. 16, 9386-9395 (2022). MSC: 35K20 35K59 46E35 PDFBibTeX XMLCite \textit{I. Kömbe} and \textit{R. T. Balekoğlu}, Math. Methods Appl. Sci. 45, No. 16, 9386--9395 (2022; Zbl 07781383) Full Text: DOI
Goldstein, Gisèle Ruiz; Goldstein, Jerome A.; Kömbe, Ismail; Tellioğlu, Reyhan Nonexistence of positive solutions for nonlinear parabolic Robin problems and Hardy-Leray inequalities. (English) Zbl 1500.35013 Ann. Mat. Pura Appl. (4) 201, No. 6, 2927-2942 (2022). MSC: 35B09 35K20 35K92 26D10 46E35 PDFBibTeX XMLCite \textit{G. R. Goldstein} et al., Ann. Mat. Pura Appl. (4) 201, No. 6, 2927--2942 (2022; Zbl 1500.35013) Full Text: DOI
Han, Junqiang Doubly nonlinear degenerate parabolic equations with a singular potential for Greiner vector fields. (English) Zbl 1513.35304 J. Partial Differ. Equations 35, No. 4, 307-319 (2022). MSC: 35K55 35K65 PDFBibTeX XMLCite \textit{J. Han}, J. Partial Differ. Equations 35, No. 4, 307--319 (2022; Zbl 1513.35304) Full Text: DOI
Goldstein, Gisèle Ruiz; Goldstein, Jerome A.; Kömbe, Ismail; Bakim, Sümeyye Nonexistence results for parabolic equations involving the \(p\)-Laplacian and Hardy-Leray-type inequalities on Riemannian manifolds. (English) Zbl 1480.35290 J. Evol. Equ. 21, No. 3, 3675-3701 (2021). MSC: 35K92 35A01 35B33 35K20 35R01 PDFBibTeX XMLCite \textit{G. R. Goldstein} et al., J. Evol. Equ. 21, No. 3, 3675--3701 (2021; Zbl 1480.35290) Full Text: DOI
Iagar, Razvan Gabriel; Sánchez, Ariel Instantaneous and finite time blow-up of solutions to a reaction-diffusion equation with Hardy-type singular potential. (English) Zbl 1448.35053 J. Math. Anal. Appl. 491, No. 1, Article ID 124244, 10 p. (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35B44 35K65 35K67 35K15 PDFBibTeX XMLCite \textit{R. G. Iagar} and \textit{A. Sánchez}, J. Math. Anal. Appl. 491, No. 1, Article ID 124244, 10 p. (2020; Zbl 1448.35053) Full Text: DOI
Ruiz Goldstein, Giséle; Goldstein, Jerome A.; Mininni, Rosa Maria; Romanelli, Silvia Scaling and variants of Hardy’s inequality. (English) Zbl 1403.35140 Proc. Am. Math. Soc. 147, No. 3, 1165-1172 (2019). Reviewer: Vincenzo Vespri (Firenze) MSC: 35K65 26D10 47D06 PDFBibTeX XMLCite \textit{G. Ruiz Goldstein} et al., Proc. Am. Math. Soc. 147, No. 3, 1165--1172 (2019; Zbl 1403.35140) Full Text: DOI
Han, Jun Qiang; Guo, Qian Qiao Nonlinear degenerate parabolic equations with time-dependent singular potentials for Baouendi-Grushin vector fields. (English) Zbl 1336.35189 Acta Math. Sin., Engl. Ser. 31, No. 1, 123-139 (2015). MSC: 35K55 35K65 35A01 PDFBibTeX XMLCite \textit{J. Q. Han} and \textit{Q. Q. Guo}, Acta Math. Sin., Engl. Ser. 31, No. 1, 123--139 (2015; Zbl 1336.35189) Full Text: DOI
Ahmetolan, S.; Cavdar, S. Nonlinear degenerate parabolic equations with time dependent singular coefficients. (English) Zbl 1225.35129 Math. Nachr. 284, No. 10, 1219-1233 (2011). MSC: 35K65 35H10 35R05 35K59 PDFBibTeX XMLCite \textit{S. Ahmetolan} and \textit{S. Cavdar}, Math. Nachr. 284, No. 10, 1219--1233 (2011; Zbl 1225.35129) Full Text: DOI
Galaktionov, V. A.; Kamotski, I. V. On nonexistence of Baras-Goldstein type for higher-order parabolic equations with singular potentials. (English) Zbl 1211.35161 Trans. Am. Math. Soc. 362, No. 8, 4117-4136 (2010). MSC: 35K67 35K35 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{I. V. Kamotski}, Trans. Am. Math. Soc. 362, No. 8, 4117--4136 (2010; Zbl 1211.35161) Full Text: DOI arXiv
Galaktionov, V. A. On nonexistence of Baras-Goldstein type without positivity assumptions for singular linear and nonlinear parabolic equations. (English) Zbl 1233.35116 Proc. Steklov Inst. Math. 260, 123-143 (2008) and Tr. Mat. Inst. Steklova 260 (2008). MSC: 35K55 35B40 35K20 35K35 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Proc. Steklov Inst. Math. 260, 123--143 (2008; Zbl 1233.35116) Full Text: DOI
Goldstein, Jerome A.; Kombe, Ismail The Hardy inequality and nonlinear parabolic equations on Carnot groups. (English) Zbl 1154.35061 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 12, 4643-4653 (2008). Reviewer: Marco Biroli (Milano) MSC: 35K65 35R05 22E30 26D10 PDFBibTeX XMLCite \textit{J. A. Goldstein} and \textit{I. Kombe}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 12, 4643--4653 (2008; Zbl 1154.35061) Full Text: DOI arXiv
Ahmetolan, S. Nonlinear degenerate parabolic equations with singular coefficients for Greiner vector fields. (English) Zbl 1160.35452 Appl. Anal. 87, No. 7, 741-754 (2008). MSC: 35K65 35K55 35H10 35R05 PDFBibTeX XMLCite \textit{S. Ahmetolan}, Appl. Anal. 87, No. 7, 741--754 (2008; Zbl 1160.35452) Full Text: DOI
Costa, David G. Some new and short proofs for a class of Caffarelli-Kohn-Nirenberg type inequalities. (English) Zbl 1127.26017 J. Math. Anal. Appl. 337, No. 1, 311-317 (2008). Reviewer: Constantin Niculescu (Craiova) MSC: 26D15 46E35 PDFBibTeX XMLCite \textit{D. G. Costa}, J. Math. Anal. Appl. 337, No. 1, 311--317 (2008; Zbl 1127.26017) Full Text: DOI
Kombe, Ismail On the nonexistence of positive solutions to nonlinear degenerate parabolic equations with singular coefficients. (English) Zbl 1099.35051 Appl. Anal. 85, No. 5, 467-478 (2006). MSC: 35K65 35R05 35B33 35K55 PDFBibTeX XMLCite \textit{I. Kombe}, Appl. Anal. 85, No. 5, 467--478 (2006; Zbl 1099.35051) Full Text: DOI