Nkombo, Quincy Stévène; Li, Fengquan; Tathy, Christian Stability properties of Radon measure-valued solutions for a class of nonlinear parabolic equations under Neumann boundary conditions. (English) Zbl 07533423 AIMS Math. 6, No. 11, 12182-12224 (2021). MSC: 35K65 35K61 35B40 28A33 35R06 28A50 PDF BibTeX XML Cite \textit{Q. S. Nkombo} et al., AIMS Math. 6, No. 11, 12182--12224 (2021; Zbl 07533423) Full Text: DOI OpenURL
Fulgencio, Rheadel G.; Guibé, Olivier Quasilinear elliptic problems in a two-component domain with \(L^1\) data. (English) Zbl 1480.35212 Donato, Patrizia (ed.) et al., Emerging problems in the homogenization of partial differential equations. Selected papers based on the presentations of the mini-symposium at ICIAM 2019, Valencia, Spain, July 2019. Cham: Springer. SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 10, 59-83 (2021). MSC: 35J62 35A01 PDF BibTeX XML Cite \textit{R. G. Fulgencio} and \textit{O. Guibé}, SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 10, 59--83 (2021; Zbl 1480.35212) Full Text: DOI OpenURL
Benboubker, M. B.; Nassouri, E.; Ouaro, S.; Traoré, U. Renormalized solutions for \(p(x)\)-Laplacian equation with Neumann nonhomogeneous boundary condition. (English) Zbl 1445.35181 Adv. Oper. Theory 5, No. 4, 1480-1497 (2020). MSC: 35J92 35A01 46E35 PDF BibTeX XML Cite \textit{M. B. Benboubker} et al., Adv. Oper. Theory 5, No. 4, 1480--1497 (2020; Zbl 1445.35181) Full Text: DOI OpenURL
Ouaro, Stanislas; Sawadogo, Noufou Nonlinear elliptic \(p(u)\)-Laplacian problem with Fourier boundary condition. (English) Zbl 1442.35167 Cubo 22, No. 1, 85-124 (2020). MSC: 35J92 35J25 35A01 35A02 PDF BibTeX XML Cite \textit{S. Ouaro} and \textit{N. Sawadogo}, Cubo 22, No. 1, 85--124 (2020; Zbl 1442.35167) Full Text: DOI OpenURL
Betta, Maria Francesca; Guibé, Olivier; Mercaldo, Anna Uniqueness for Neumann problems for nonlinear elliptic equations. (English) Zbl 1415.35110 Commun. Pure Appl. Anal. 18, No. 3, 1023-1048 (2019). MSC: 35J25 35J60 35A02 PDF BibTeX XML Cite \textit{M. F. Betta} et al., Commun. Pure Appl. Anal. 18, No. 3, 1023--1048 (2019; Zbl 1415.35110) Full Text: DOI arXiv OpenURL
Cianchi, Andrea; Maz’ya, Vladimir Quasilinear elliptic problems with general growth and merely integrable, or measure, data. (English) Zbl 1373.35113 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 164, 189-215 (2017). MSC: 35J25 35J60 35B65 PDF BibTeX XML Cite \textit{A. Cianchi} and \textit{V. Maz'ya}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 164, 189--215 (2017; Zbl 1373.35113) Full Text: DOI arXiv OpenURL
Nerlich, Alexander Asymptotic results for solutions of a weighted \(p\)-Laplacian evolution equation with Neumann boundary conditions. (English) Zbl 1377.35182 NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 4, Paper No. 46, 21 p. (2017). MSC: 35K92 35B40 47H20 PDF BibTeX XML Cite \textit{A. Nerlich}, NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 4, Paper No. 46, 21 p. (2017; Zbl 1377.35182) Full Text: DOI arXiv OpenURL
Martínez, A.; Muñoz-Sola, R.; Vázquez-Méndez, M. E.; Alvarez-Vázquez, L. J. A local regularity result for Neumann parabolic problems with nonsmooth data. (English) Zbl 1372.35063 Indag. Math., New Ser. 28, No. 2, 494-515 (2017). MSC: 35B65 35K20 35D30 PDF BibTeX XML Cite \textit{A. Martínez} et al., Indag. Math., New Ser. 28, No. 2, 494--515 (2017; Zbl 1372.35063) Full Text: DOI OpenURL
Jamea, Ahmed; El Hachimi, Abderrahmane; Igbida, Jaouad Uniqueness of renormalized solution to nonlinear Neumann problems with variable exponent. (English) Zbl 1371.35095 Appl. Math. 44, No. 1, 1-14 (2017). MSC: 35J60 35J66 PDF BibTeX XML Cite \textit{A. Jamea} et al., Appl. Math. 44, No. 1, 1--14 (2017; Zbl 1371.35095) Full Text: DOI OpenURL
Liu, Qiang; Guo, Zhichang; Wang, Chunpeng Renormalized solutions to a reaction-diffusion system applied to image denoising. (English) Zbl 1359.35104 Discrete Contin. Dyn. Syst., Ser. B 21, No. 6, 1839-1858 (2016). Reviewer: Christian Stinner (Darmstadt) MSC: 35K59 35K65 35D30 35A01 35A02 PDF BibTeX XML Cite \textit{Q. Liu} et al., Discrete Contin. Dyn. Syst., Ser. B 21, No. 6, 1839--1858 (2016; Zbl 1359.35104) Full Text: DOI OpenURL
Kouraichi, Chiraz; Siai, Abdelmajid Equivalence between entropy and renormalized solutions for parabolic equations. (English) Zbl 1325.35106 Indag. Math., New Ser. 26, No. 4, 679-696 (2015). MSC: 35K61 35K55 35K65 35D35 PDF BibTeX XML Cite \textit{C. Kouraichi} and \textit{A. Siai}, Indag. Math., New Ser. 26, No. 4, 679--696 (2015; Zbl 1325.35106) Full Text: DOI OpenURL
Boccardo, L.; Mazón, J. M. Existence of solutions and regularizing effect for some elliptic nonlinear problems with nonhomogeneous Neumann boundary conditions. (English) Zbl 1319.35061 Rev. Mat. Complut. 28, No. 2, 263-280 (2015). MSC: 35J92 35J60 35J62 35J67 35J66 PDF BibTeX XML Cite \textit{L. Boccardo} and \textit{J. M. Mazón}, Rev. Mat. Complut. 28, No. 2, 263--280 (2015; Zbl 1319.35061) Full Text: DOI OpenURL
Betta, M. F.; Guibé, O.; Mercaldo, A. Neumann problems for nonlinear elliptic equations with \(L^1\) data. (English) Zbl 1322.35013 J. Differ. Equations 259, No. 3, 898-924 (2015). Reviewer: Chie-Ping Chu (Taipei) MSC: 35J25 35D30 PDF BibTeX XML Cite \textit{M. F. Betta} et al., J. Differ. Equations 259, No. 3, 898--924 (2015; Zbl 1322.35013) Full Text: DOI arXiv OpenURL
Sacks, Paul; Warma, Mahamadi Semi-linear elliptic and elliptic-parabolic equations with Wentzell boundary conditions and \(L^1\)-data. (English) Zbl 1280.35052 Discrete Contin. Dyn. Syst. 34, No. 2, 761-787 (2014). MSC: 35J61 35M10 35D30 PDF BibTeX XML Cite \textit{P. Sacks} and \textit{M. Warma}, Discrete Contin. Dyn. Syst. 34, No. 2, 761--787 (2014; Zbl 1280.35052) Full Text: DOI OpenURL
Mazón Ruiz, José M. Partial differential equations governed by accretive operators. (English) Zbl 1321.47122 S\(\vec{\text{e}}\)MA J. 58, 25-51 (2012). Reviewer: Evgeniy Panov (Novgorod) MSC: 47H20 47J35 47H06 35K59 PDF BibTeX XML Cite \textit{J. M. Mazón Ruiz}, S\(\vec{\text{e}}\)MA J. 58, 25--51 (2012; Zbl 1321.47122) Full Text: DOI OpenURL
Nyanquini, Ismael; Ouaro, Stanislas Entropy solution for nonlinear elliptic problem involving variable exponent and Fourier type boundary condition. (English) Zbl 1292.35105 Afr. Mat. 23, No. 2, 205-228 (2012). Reviewer: Marcelo Furtado (Brasília) MSC: 35J20 35J25 35D30 35B38 35J60 PDF BibTeX XML Cite \textit{I. Nyanquini} and \textit{S. Ouaro}, Afr. Mat. 23, No. 2, 205--228 (2012; Zbl 1292.35105) Full Text: DOI OpenURL
Alvino, Angelo; Cianchi, Andrea; Maz’ya, Vladimir G.; Mercaldo, Anna Well-posed elliptic Neumann problems involving irregular data and domains. (English) Zbl 1200.35105 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 4, 1017-1054 (2010). Reviewer: Marius Ghergu (Dublin) MSC: 35J60 35B45 35D30 35B35 35J66 35B30 PDF BibTeX XML Cite \textit{A. Alvino} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 4, 1017--1054 (2010; Zbl 1200.35105) Full Text: DOI arXiv OpenURL
Ruess, Wolfgang M. Flow invariance for nonlinear partial differential delay equations. (English) Zbl 1179.47061 Trans. Am. Math. Soc. 361, No. 8, 4367-4403 (2009). Reviewer: N. C. Apreutesei (Iaşi) MSC: 47J35 35R10 47H07 47H20 47N60 92D25 PDF BibTeX XML Cite \textit{W. M. Ruess}, Trans. Am. Math. Soc. 361, No. 8, 4367--4403 (2009; Zbl 1179.47061) Full Text: DOI OpenURL
García Vázquez, C.; Ortegón Gallego, F. An elliptic system involving a singular diffusion matrix. (English) Zbl 1171.35036 J. Comput. Appl. Math. 229, No. 2, 452-461 (2009). MSC: 35J55 35J60 35J65 76F60 PDF BibTeX XML Cite \textit{C. García Vázquez} and \textit{F. Ortegón Gallego}, J. Comput. Appl. Math. 229, No. 2, 452--461 (2009; Zbl 1171.35036) Full Text: DOI OpenURL
Andreu, F.; Mazón, J. M.; Rossi, J. D.; Toledo, J. A nonlocal \(p\)-Laplacian evolution equation with Neumann boundary conditions. (English) Zbl 1165.35322 J. Math. Pures Appl. (9) 90, No. 2, 201-227 (2008). MSC: 35B40 45G10 35K65 35K55 PDF BibTeX XML Cite \textit{F. Andreu} et al., J. Math. Pures Appl. (9) 90, No. 2, 201--227 (2008; Zbl 1165.35322) Full Text: DOI OpenURL
Andreu, F.; Igbida, N.; Mazón, J. M.; Toledo, J. Renormalized solutions for degenerate elliptic-parabolic problems with nonlinear dynamical boundary conditions and \(L^1\)-data. (English) Zbl 1145.35407 J. Differ. Equations 244, No. 11, 2764-2803 (2008). MSC: 35K65 35K50 35R35 PDF BibTeX XML Cite \textit{F. Andreu} et al., J. Differ. Equations 244, No. 11, 2764--2803 (2008; Zbl 1145.35407) Full Text: DOI OpenURL
García-Falset, Jesús Existence results and asymptotic behavior for nonlocal abstract Cauchy problems. (English) Zbl 1140.34026 J. Math. Anal. Appl. 338, No. 1, 639-652 (2008). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 34G20 47H06 35K60 PDF BibTeX XML Cite \textit{J. García-Falset}, J. Math. Anal. Appl. 338, No. 1, 639--652 (2008; Zbl 1140.34026) Full Text: DOI OpenURL
Andreu, F.; Igbida, N.; Mazón, J. M.; Toledo, J. \(L^1\) existence and uniqueness results for quasi-linear elliptic equations with nonlinear boundary conditions. (English) Zbl 1123.35016 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 1, 61-89 (2007). Reviewer: N.B. Zographopoulos (Chania, Crete) MSC: 35J60 35D05 76D27 PDF BibTeX XML Cite \textit{F. Andreu} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 1, 61--89 (2007; Zbl 1123.35016) Full Text: DOI Numdam EuDML OpenURL
Siai, Abdelmajid A fully nonlinear nonhomogeneous Neumann problem. (English) Zbl 1284.35197 Potential Anal. 24, No. 1, 15-45 (2006). MSC: 35J66 35J70 47J05 PDF BibTeX XML Cite \textit{A. Siai}, Potential Anal. 24, No. 1, 15--45 (2006; Zbl 1284.35197) Full Text: DOI OpenURL
García-Falset, Jesús The asymptotic behavior of the solutions of the Cauchy problem generated by \(\phi\)-accretive operators. (English) Zbl 1079.35050 J. Math. Anal. Appl. 310, No. 2, 594-608 (2005). Reviewer: Constantin Corduneanu (Arlington) MSC: 35K60 35B40 35R70 PDF BibTeX XML Cite \textit{J. García-Falset}, J. Math. Anal. Appl. 310, No. 2, 594--608 (2005; Zbl 1079.35050) Full Text: DOI OpenURL
Jakubowski, Volker G.; Wittbold, Petra On a nonlinear elliptic-parabolic integro-differential equation with \(L^{1}\)-data. (English) Zbl 1036.35150 J. Differ. Equations 197, No. 2, 427-445 (2004). MSC: 35M10 35S10 PDF BibTeX XML Cite \textit{V. G. Jakubowski} and \textit{P. Wittbold}, J. Differ. Equations 197, No. 2, 427--445 (2004; Zbl 1036.35150) Full Text: DOI OpenURL
Ammar, Kaouther Entropy solutions of nonlocal problems. (Solutions entropiques des problèmes non locaux.) (French. Abridged English version) Zbl 1154.35343 C. R., Math., Acad. Sci. Paris 334, No. 9, 751-756 (2002). MSC: 35J60 35J65 PDF BibTeX XML Cite \textit{K. Ammar}, C. R., Math., Acad. Sci. Paris 334, No. 9, 751--756 (2002; Zbl 1154.35343) Full Text: DOI OpenURL
Andreu, F.; Ballester, C.; Caselles, V.; Mazón, J. M. The Dirichlet problem for the total variation flow. (English) Zbl 0973.35109 J. Funct. Anal. 180, No. 2, 347-403 (2001). Reviewer: Evgeniy Panov (Novgorod) MSC: 35K60 37L05 49Q20 PDF BibTeX XML Cite \textit{F. Andreu} et al., J. Funct. Anal. 180, No. 2, 347--403 (2001; Zbl 0973.35109) Full Text: DOI Link OpenURL
Andreu, F.; Mazón, J. M.; Segura de León, S.; Toledo, J. Existence and uniqueness for a degenerate parabolic equation with \(L^1\)-data. (English) Zbl 0912.35092 Trans. Am. Math. Soc. 351, No. 1, 285-306 (1999). Reviewer: G.V.Jaiani (Tbilisi) MSC: 35K65 47H20 35K60 35K55 PDF BibTeX XML Cite \textit{F. Andreu} et al., Trans. Am. Math. Soc. 351, No. 1, 285--306 (1999; Zbl 0912.35092) Full Text: DOI OpenURL
Aguilar Crespo, J. A.; Alonso, I. Peral Blow-up behavior for solutions of \(-\Delta_ N u=V(x)e^ u\) in bounded domains in \(\mathbb{R}^ N\). (English) Zbl 0885.35035 Nonlinear Anal., Theory Methods Appl. 29, No. 4, 365-384 (1997). Reviewer: P.Szilagyi (Cluj-Napoca) MSC: 35J65 PDF BibTeX XML Cite \textit{J. A. Aguilar Crespo} and \textit{I. P. Alonso}, Nonlinear Anal., Theory Methods Appl. 29, No. 4, 365--384 (1997; Zbl 0885.35035) Full Text: DOI OpenURL