Faraci, F.; Silva, K. On the Brezis-Nirenberg problem for a Kirchhoff type equation in high dimension. (English) Zbl 07309166 Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 22, 33 p. (2021). MSC: 35J20 35B33 PDF BibTeX XML Cite \textit{F. Faraci} and \textit{K. Silva}, Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 22, 33 p. (2021; Zbl 07309166) Full Text: DOI
Gasiński, Leszek; Winkert, Patrick Sign changing solution for a double phase problem with nonlinear boundary condition via the Nehari manifold. (English) Zbl 07289124 J. Differ. Equations 274, 1037-1066 (2021). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J15 35J62 35J92 35P30 PDF BibTeX XML Cite \textit{L. Gasiński} and \textit{P. Winkert}, J. Differ. Equations 274, 1037--1066 (2021; Zbl 07289124) Full Text: DOI
Silva, Kaye; Sousa, Steffânio M. Finer analysis of the Nehari set associated to a class of Kirchhoff-type equations. (English) Zbl 07296595 SN Partial Differ. Equ. Appl. 1, No. 6, Paper No. 43, 22 p. (2020). MSC: 35J25 35A02 35A15 35B32 PDF BibTeX XML Cite \textit{K. Silva} and \textit{S. M. Sousa}, SN Partial Differ. Equ. Appl. 1, No. 6, Paper No. 43, 22 p. (2020; Zbl 07296595) Full Text: DOI
Silva, Kaye On an abstract bifurcation result concerning homogeneous potential operators with applications to PDEs. (English) Zbl 07212524 J. Differ. Equations 269, No. 9, 7643-7675 (2020). MSC: 58E07 35A15 35B32 35J61 PDF BibTeX XML Cite \textit{K. Silva}, J. Differ. Equations 269, No. 9, 7643--7675 (2020; Zbl 07212524) Full Text: DOI
Valovik, D. V. Asymptotic analysis of a nonlinear eigenvalue problem arising in electromagnetics. (English) Zbl 1440.35321 Nonlinearity 33, No. 7, 3470-3499 (2020). MSC: 35Q61 35P30 78A60 35B40 78A40 PDF BibTeX XML Cite \textit{D. V. Valovik}, Nonlinearity 33, No. 7, 3470--3499 (2020; Zbl 1440.35321) Full Text: DOI
Valovik, D. V.; Tikhov, S. V. Asymptotic analysis of a nonlinear eigenvalue problem arising in the waveguide theory. (English. Russian original) Zbl 1444.34042 Differ. Equ. 55, No. 12, 1554-1569 (2019); translation from Differ. Uravn. 55, No. 12, 1610-1624 (2019). MSC: 34B09 34B08 34L15 34L20 PDF BibTeX XML Cite \textit{D. V. Valovik} and \textit{S. V. Tikhov}, Differ. Equ. 55, No. 12, 1554--1569 (2019; Zbl 1444.34042); translation from Differ. Uravn. 55, No. 12, 1610--1624 (2019) Full Text: DOI
Liu, Guanggang; Shi, Shaoyun; Wei, Yucheng Multiplicity of solutions for Kirchhoff-type problem with two-superlinear potentials. (English) Zbl 1421.35114 Bull. Malays. Math. Sci. Soc. (2) 42, No. 4, 1657-1673 (2019). MSC: 35J60 35J25 35J20 PDF BibTeX XML Cite \textit{G. Liu} et al., Bull. Malays. Math. Sci. Soc. (2) 42, No. 4, 1657--1673 (2019; Zbl 1421.35114) Full Text: DOI
Silva, Kaye The bifurcation diagram of an elliptic Kirchhoff-type equation with respect to the stiffness of the material. (English) Zbl 1418.35031 Z. Angew. Math. Phys. 70, No. 4, Paper No. 93, 13 p. (2019). MSC: 35B32 35A02 35A15 35J25 35R09 PDF BibTeX XML Cite \textit{K. Silva}, Z. Angew. Math. Phys. 70, No. 4, Paper No. 93, 13 p. (2019; Zbl 1418.35031) Full Text: DOI
Valovik, D. V. On spectral properties of the Sturm-Liouville operator with power nonlinearity. (English) Zbl 1420.34099 Monatsh. Math. 188, No. 2, 369-385 (2019). Reviewer: Bruce A. Watson (Wits) MSC: 34L05 34L20 34L15 34B24 PDF BibTeX XML Cite \textit{D. V. Valovik}, Monatsh. Math. 188, No. 2, 369--385 (2019; Zbl 1420.34099) Full Text: DOI
Valovik, D. V. On the existence of infinitely many nonperturbative solutions in a transmission eigenvalue problem for nonlinear Helmholtz equation with polynomial nonlinearity. (English) Zbl 07166425 Appl. Math. Modelling 53, 296-309 (2018). MSC: 35 78 PDF BibTeX XML Cite \textit{D. V. Valovik}, Appl. Math. Modelling 53, 296--309 (2018; Zbl 07166425) Full Text: DOI
Khatib, Alireza; Maia, Liliane A. A positive bound state for an asymptotically linear or superlinear Schrödinger equation in exterior domains. (English) Zbl 1397.35279 Commun. Pure Appl. Anal. 17, No. 6, 2789-2812 (2018). MSC: 35Q55 35J61 35J20 35J50 35B09 PDF BibTeX XML Cite \textit{A. Khatib} and \textit{L. A. Maia}, Commun. Pure Appl. Anal. 17, No. 6, 2789--2812 (2018; Zbl 1397.35279) Full Text: DOI
Silva, Kaye; Macedo, Abiel Local minimizers over the Nehari manifold for a class of concave-convex problems with sign changing nonlinearity. (English) Zbl 1392.35172 J. Differ. Equations 265, No. 5, 1894-1921 (2018). MSC: 35J92 35B09 PDF BibTeX XML Cite \textit{K. Silva} and \textit{A. Macedo}, J. Differ. Equations 265, No. 5, 1894--1921 (2018; Zbl 1392.35172) Full Text: DOI
Ritorto, Antonella Optimal partition problems for the fractional Laplacian. (English) Zbl 1390.35405 Ann. Mat. Pura Appl. (4) 197, No. 2, 501-516 (2018). MSC: 35R11 49Q10 PDF BibTeX XML Cite \textit{A. Ritorto}, Ann. Mat. Pura Appl. (4) 197, No. 2, 501--516 (2018; Zbl 1390.35405) Full Text: DOI arXiv
Deng, Yinbin; Peng, Shuangjie; Wang, Jixiu Nodal solutions for a quasilinear elliptic equation involving the \(p\)-Laplacian and critical exponents. (English) Zbl 1386.35109 Adv. Nonlinear Stud. 18, No. 1, 17-40 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35J62 35J92 PDF BibTeX XML Cite \textit{Y. Deng} et al., Adv. Nonlinear Stud. 18, No. 1, 17--40 (2018; Zbl 1386.35109) Full Text: DOI
Valovik, Dmitry V. The spectral properties of some nonlinear operators of Sturm-Liouville type. (English. Russian original) Zbl 1390.34236 Sb. Math. 208, No. 9, 1282-1297 (2017); translation from Mat. Sb. 208, No. 9, 26-41 (2017). Reviewer: Mihai Pascu (Bucureşti) MSC: 34L15 34B09 34B24 34L20 34L10 PDF BibTeX XML Cite \textit{D. V. Valovik}, Sb. Math. 208, No. 9, 1282--1297 (2017; Zbl 1390.34236); translation from Mat. Sb. 208, No. 9, 26--41 (2017) Full Text: DOI
Liu, Guanggang; Shi, Shaoyun; Wei, Yucheng Sign-changing solutions for semilinear elliptic equations with dependence on the gradient via the Nehari method. (English) Zbl 1377.35068 Mediterr. J. Math. 14, No. 3, Paper No. 144, 12 p. (2017). MSC: 35J05 35J61 35J25 PDF BibTeX XML Cite \textit{G. Liu} et al., Mediterr. J. Math. 14, No. 3, Paper No. 144, 12 p. (2017; Zbl 1377.35068) Full Text: DOI
Maia, Liliane A.; Pellacci, Benedetta Positive solutions for asymptotically linear problems in exterior domains. (English) Zbl 1388.35020 Ann. Mat. Pura Appl. (4) 196, No. 4, 1399-1430 (2017). Reviewer: Marcelo Furtado (Brasília) MSC: 35J10 35J61 35Q55 PDF BibTeX XML Cite \textit{L. A. Maia} and \textit{B. Pellacci}, Ann. Mat. Pura Appl. (4) 196, No. 4, 1399--1430 (2017; Zbl 1388.35020) Full Text: DOI
Cheng, Kun; Deng, Yinbin Nodal solutions for a generalized quasilinear Schrödinger equation with critical exponents. (English) Zbl 1359.35176 Discrete Contin. Dyn. Syst. 37, No. 1, 77-103 (2017). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35J62 35J20 35B09 PDF BibTeX XML Cite \textit{K. Cheng} and \textit{Y. Deng}, Discrete Contin. Dyn. Syst. 37, No. 1, 77--103 (2017; Zbl 1359.35176) Full Text: DOI
Grigor’yan, Alexander; Lin, Yong; Yang, Yunyan Yamabe type equations on graphs. (English) Zbl 1351.35038 J. Differ. Equations 261, No. 9, 4924-4943 (2016). Reviewer: Andreas Kleefeld (Jülich) MSC: 35J25 35B09 PDF BibTeX XML Cite \textit{A. Grigor'yan} et al., J. Differ. Equations 261, No. 9, 4924--4943 (2016; Zbl 1351.35038) Full Text: DOI arXiv
Li, Chong; Li, Shujie Gaps of consecutive eigenvalues of Laplace operator and the existence of multiple solutions for superlinear elliptic problem. (English) Zbl 1336.35261 J. Funct. Anal. 271, No. 2, 245-263 (2016). MSC: 35P05 35A15 35J91 PDF BibTeX XML Cite \textit{C. Li} and \textit{S. Li}, J. Funct. Anal. 271, No. 2, 245--263 (2016; Zbl 1336.35261) Full Text: DOI
Hu, Zhigang; Liu, Wenbin; Chen, Taiyong The existence of a ground state solution for a class of fractional differential equation with \(p\)-Laplacian operator. (English) Zbl 1335.34017 Bound. Value Probl. 2016, Paper No. 45, 12 p. (2016). MSC: 34A08 34B15 PDF BibTeX XML Cite \textit{Z. Hu} et al., Bound. Value Probl. 2016, Paper No. 45, 12 p. (2016; Zbl 1335.34017) Full Text: DOI
Gritsans, Armands; Sadyrbaev, Felix The Nehari solutions and asymmetric minimizers. (English) Zbl 1381.34044 Discrete Contin. Dyn. Syst. 2015, Suppl., 562-568 (2015). Reviewer: Haiyan Wang (Phoenix) MSC: 34B18 34B15 49K05 PDF BibTeX XML Cite \textit{A. Gritsans} and \textit{F. Sadyrbaev}, Discrete Contin. Dyn. Syst. 2015, 562--568 (2015; Zbl 1381.34044) Full Text: DOI
Deng, Yinbin; Li, Yi; Yan, Xiujuan Nodal solutions for a quasilinear Schrödinger equation with critical nonlinearity and non-square diffusion. (English) Zbl 1327.35085 Commun. Pure Appl. Anal. 14, No. 6, 2487-2508 (2015). MSC: 35J20 35J62 35Q55 PDF BibTeX XML Cite \textit{Y. Deng} et al., Commun. Pure Appl. Anal. 14, No. 6, 2487--2508 (2015; Zbl 1327.35085) Full Text: DOI
Maia, Liliane A.; Miyagaki, Olimpio H.; Soares, Sergio H. M. A sign-changing solution for an asymptotically linear Schrödinger equation. (English) Zbl 1327.35087 Proc. Edinb. Math. Soc., II. Ser. 58, No. 3, 697-716 (2015). Reviewer: Huansong Zhou (Wuhan) MSC: 35J20 35J61 35J60 35J15 PDF BibTeX XML Cite \textit{L. A. Maia} et al., Proc. Edinb. Math. Soc., II. Ser. 58, No. 3, 697--716 (2015; Zbl 1327.35087) Full Text: DOI
Barutello, Vivina L.; Boscaggin, Alberto; Verzini, Gianmaria Positive solutions with a complex behavior for superlinear indefinite ODEs on the real line. (English) Zbl 1325.34056 J. Differ. Equations 259, No. 7, 3448-3489 (2015). Reviewer: Mohsen Timoumi (Monastir) MSC: 34C25 34B18 34C28 37J45 58E50 34D10 PDF BibTeX XML Cite \textit{V. L. Barutello} et al., J. Differ. Equations 259, No. 7, 3448--3489 (2015; Zbl 1325.34056) Full Text: DOI arXiv
Bao, Ellen Shiting; Chen, Robin Ming; Liu, Qing Existence and symmetry of ground states to the Boussinesq abcd systems. (English) Zbl 1310.35192 Arch. Ration. Mech. Anal. 216, No. 2, 569-591 (2015). MSC: 35Q35 76B15 35C08 76B03 PDF BibTeX XML Cite \textit{E. S. Bao} et al., Arch. Ration. Mech. Anal. 216, No. 2, 569--591 (2015; Zbl 1310.35192) Full Text: DOI
Hu, Zhigang; Liu, Wenbin; Liu, Jiaying Ground state solutions for a class of fractional differential equations with Dirichlet boundary value condition. (English) Zbl 07023399 Abstr. Appl. Anal. 2014, Article ID 958420, 7 p. (2014). MSC: 34 35 PDF BibTeX XML Cite \textit{Z. Hu} et al., Abstr. Appl. Anal. 2014, Article ID 958420, 7 p. (2014; Zbl 07023399) Full Text: DOI
Xiao, Huafeng A note on the minimal period problem for second order Hamiltonian systems. (English) Zbl 07022281 Abstr. Appl. Anal. 2014, Article ID 385381, 7 p. (2014). MSC: 34 35 PDF BibTeX XML Cite \textit{H. Xiao}, Abstr. Appl. Anal. 2014, Article ID 385381, 7 p. (2014; Zbl 07022281) Full Text: DOI
Xiao, Huafeng Periodic solutions of second order difference systems with even potential. (English) Zbl 1417.39048 Adv. Difference Equ. 2014, Paper No. 215, 14 p. (2014). MSC: 39A23 PDF BibTeX XML Cite \textit{H. Xiao}, Adv. Difference Equ. 2014, Paper No. 215, 14 p. (2014; Zbl 1417.39048) Full Text: DOI
Deng, Yinbin; Peng, Shuangjie; Wang, Jixiu Nodal soliton solutions for generalized quasilinear Schrödinger equations. (English) Zbl 1292.81037 J. Math. Phys. 55, No. 5, 051501, 16 p. (2014). MSC: 81Q05 35Q55 35C08 49S05 82D10 76X05 78A60 PDF BibTeX XML Cite \textit{Y. Deng} et al., J. Math. Phys. 55, No. 5, 051501, 16 p. (2014; Zbl 1292.81037) Full Text: DOI
Deng, Yinbin; Peng, Shuangjie; Wang, Jixiu Nodal soliton solutions for quasilinear Schrödinger equations with critical exponent. (English) Zbl 1293.35292 J. Math. Phys. 54, No. 1, 011504, 27 p. (2013). Reviewer: Thomas J. Bartsch (Gießen) MSC: 35Q55 35C08 81Q05 35B33 35A15 PDF BibTeX XML Cite \textit{Y. Deng} et al., J. Math. Phys. 54, No. 1, 011504, 27 p. (2013; Zbl 1293.35292) Full Text: DOI
Bonheure, Denis; Derlet, Ann; De Valeriola, Sébastien On the multiplicity of nodal solutions of a prescribed mean curvature problem. (English) Zbl 1281.35054 Math. Nachr. 286, No. 11-12, 1072-1086 (2013). Reviewer: Leszek Gasiński (Kraków) MSC: 35J93 35J25 35B05 PDF BibTeX XML Cite \textit{D. Bonheure} et al., Math. Nachr. 286, No. 11--12, 1072--1086 (2013; Zbl 1281.35054) Full Text: DOI
Makita, Percy D. Homoclinic orbits for second order Hamiltonian equations in \(\mathbb R\). (English) Zbl 1264.34090 J. Dyn. Differ. Equations 24, No. 4, 857-871 (2012). Reviewer: Anthony D. Osborne (Keele) MSC: 34C37 37J45 PDF BibTeX XML Cite \textit{P. D. Makita}, J. Dyn. Differ. Equations 24, No. 4, 857--871 (2012; Zbl 1264.34090) Full Text: DOI
Felmer, Patricio; Valdebenito, Darío Eigenvalues for radially symmetric fully nonlinear singular or degenerate operators. (English) Zbl 1251.35060 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 18, 6524-6540 (2012). MSC: 35P30 35J25 35J60 35P15 PDF BibTeX XML Cite \textit{P. Felmer} and \textit{D. Valdebenito}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 18, 6524--6540 (2012; Zbl 1251.35060) Full Text: DOI
Esteban, Maria J.; Felmer, Patricio; Quaas, Alexander Eigenvalues for radially symmetric fully nonlinear operators. (English) Zbl 1206.35186 Commun. Partial Differ. Equations 35, No. 9, 1716-1737 (2010). Reviewer: Jesús Hernández (Madrid) MSC: 35P30 35J15 35B30 35B32 PDF BibTeX XML Cite \textit{M. J. Esteban} et al., Commun. Partial Differ. Equations 35, No. 9, 1716--1737 (2010; Zbl 1206.35186) Full Text: DOI
Terracini, Susanna; Verzini, Gianmaria Multipulse phases in k-mixtures of Bose-Einstein condensates. (English) Zbl 1181.35069 Arch. Ration. Mech. Anal. 194, No. 3, 717-741 (2009). MSC: 35J47 35Q40 81V80 PDF BibTeX XML Cite \textit{S. Terracini} and \textit{G. Verzini}, Arch. Ration. Mech. Anal. 194, No. 3, 717--741 (2009; Zbl 1181.35069) Full Text: DOI arXiv
Sato, Yohei; Tanaka, Kazunaga Sign-changing multi-bump solutions for nonlinear Schrödinger equations with steep potential wells. (English) Zbl 1198.35261 Trans. Am. Math. Soc. 361, No. 12, 6205-6253 (2009). Reviewer: M. Marin (Brasov) MSC: 35Q55 35J60 35J20 35B09 PDF BibTeX XML Cite \textit{Y. Sato} and \textit{K. Tanaka}, Trans. Am. Math. Soc. 361, No. 12, 6205--6253 (2009; Zbl 1198.35261) Full Text: DOI
Wei, Juncheng; Weth, Tobias Radial solutions and phase separation in a system of two coupled Schrödinger equations. (English) Zbl 1161.35051 Arch. Ration. Mech. Anal. 190, No. 1, 83-106 (2008). MSC: 35Q55 35Q51 35J55 81V10 35B40 35A35 PDF BibTeX XML Cite \textit{J. Wei} and \textit{T. Weth}, Arch. Ration. Mech. Anal. 190, No. 1, 83--106 (2008; Zbl 1161.35051) Full Text: DOI
Tang, Zhongwei Infinitely many radial solutions to elliptic problems with critical Sobolev and Hardy terms. (English) Zbl 1154.35350 Sci. China, Ser. A 51, No. 9, 1609-1618 (2008). MSC: 35J60 35B33 PDF BibTeX XML Cite \textit{Z. Tang}, Sci. China, Ser. A 51, No. 9, 1609--1618 (2008; Zbl 1154.35350) Full Text: DOI
Maia, L. A.; Montefusco, E.; Pellacci, B. Infinitely many nodal solutions for a weakly coupled nonlinear Schrödinger system. (English) Zbl 1159.35428 Commun. Contemp. Math. 10, No. 5, 651-669 (2008). MSC: 35Q55 35J50 35J45 PDF BibTeX XML Cite \textit{L. A. Maia} et al., Commun. Contemp. Math. 10, No. 5, 651--669 (2008; Zbl 1159.35428) Full Text: DOI
Felmer, Patricio; Martínez, Salomé; Tanaka, Kazunaga Highly oscillatory behavior of the activator in the Gierer and Meinhardt system. (English) Zbl 1173.37010 Math. Ann. 340, No. 4, 749-773 (2008). Reviewer: Antonio Bove (Bologna) MSC: 37B25 35J60 35J55 34B15 PDF BibTeX XML Cite \textit{P. Felmer} et al., Math. Ann. 340, No. 4, 749--773 (2008; Zbl 1173.37010) Full Text: DOI
Dancer, E. N.; Wei, Juncheng Sign-changing solutions for supercritical elliptic problems in domains with small holes. (English) Zbl 1387.35284 Manuscr. Math. 123, No. 4, 493-511 (2007). MSC: 35J65 35B40 35J40 35J25 35J60 47J30 92C40 PDF BibTeX XML Cite \textit{E. N. Dancer} and \textit{J. Wei}, Manuscr. Math. 123, No. 4, 493--511 (2007; Zbl 1387.35284) Full Text: DOI
Felmer, Patricio; Martínez, Salomé; Tanaka, Kazunaga High frequency solutions for the singularly-perturbed one-dimensional nonlinear Schrödinger equation. (English) Zbl 1116.34067 Arch. Ration. Mech. Anal. 182, No. 2, 333-366 (2006). MSC: 34L40 34E15 PDF BibTeX XML Cite \textit{P. Felmer} et al., Arch. Ration. Mech. Anal. 182, No. 2, 333--366 (2006; Zbl 1116.34067) Full Text: DOI
Chen, Jianqing; Guo, Boling Multiple nodal bound states for a quasilinear Schrödinger equation. (English) Zbl 1111.34017 J. Math. Phys. 46, No. 12, 123502, 11 p. (2005). MSC: 34B15 34L40 35Q55 47J30 PDF BibTeX XML Cite \textit{J. Chen} and \textit{B. Guo}, J. Math. Phys. 46, No. 12, 123502, 11 p. (2005; Zbl 1111.34017) Full Text: DOI
Conti, Monica; Terracini, Susanna; Verzini, Gianmaria Infinitely many solutions to fourth order superlinear periodic problems. (English) Zbl 1074.34047 Trans. Am. Math. Soc. 356, No. 8, 3283-3300 (2004). Reviewer: Bin Liu (Beijing) MSC: 34C25 58E05 PDF BibTeX XML Cite \textit{M. Conti} et al., Trans. Am. Math. Soc. 356, No. 8, 3283--3300 (2004; Zbl 1074.34047) Full Text: DOI
Bartuccelli, M. V.; Deane, J. H. B.; Gentile, G.; Gourley, S. A. Global attraction to the origin in a parametrically driven nonlinear oscillator. (English) Zbl 1068.34053 Appl. Math. Comput. 153, No. 1, 1-11 (2004). Reviewer: J. B. Butler jun. (Portland) MSC: 34D45 34D05 PDF BibTeX XML Cite \textit{M. V. Bartuccelli} et al., Appl. Math. Comput. 153, No. 1, 1--11 (2004; Zbl 1068.34053) Full Text: DOI
Cao, Daomin; Tang, Zhongwei Solutions with prescribed number of nodes to superlinear elliptic systems. (English) Zbl 1073.35078 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 55, No. 6, 707-722 (2003). MSC: 35J45 35J60 47J30 58E05 PDF BibTeX XML Cite \textit{D. Cao} and \textit{Z. Tang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 55, No. 6, 707--722 (2003; Zbl 1073.35078) Full Text: DOI
Conti, M.; Terracini, S.; Verzini, G. An optimal partition problem related to nonlinear eigenvalues. (English) Zbl 1091.35051 J. Funct. Anal. 198, No. 1, 160-196 (2003). MSC: 35P30 35J25 35J60 35R35 58E05 PDF BibTeX XML Cite \textit{M. Conti} et al., J. Funct. Anal. 198, No. 1, 160--196 (2003; Zbl 1091.35051) Full Text: DOI
Conti, M.; Terracini, S.; Verzini, G. Nehari’s problem and competing species systems. (English) Zbl 1090.35076 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 19, No. 6, 871-888 (2002). Reviewer: Yuri V. Rogovchenko (Famagusta) MSC: 35J60 35J45 35J50 92D25 PDF BibTeX XML Cite \textit{M. Conti} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 19, No. 6, 871--888 (2002; Zbl 1090.35076) Full Text: DOI Numdam EuDML
Bartsch, Thomas Critical point theory on partially ordered Hilbert spaces. (English) Zbl 1211.58003 J. Funct. Anal. 186, No. 1, 117-152 (2001). MSC: 58E05 PDF BibTeX XML Cite \textit{T. Bartsch}, J. Funct. Anal. 186, No. 1, 117--152 (2001; Zbl 1211.58003) Full Text: DOI
Costa, D. G.; Tehrani, H. On the sign of the mountain pass solution. (English) Zbl 0971.35032 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 44, No. 1, 65-80 (2001). MSC: 35J65 35B05 35A15 PDF BibTeX XML Cite \textit{D. G. Costa} and \textit{H. Tehrani}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 44, No. 1, 65--80 (2001; Zbl 0971.35032) Full Text: DOI
Papini, Duccio Inifinitely many solutions for a Floquet-type BVP with superlinearity indefinite in sign. (English) Zbl 0967.34007 J. Math. Anal. Appl. 247, No. 1, 217-235 (2000). Reviewer: Andrzej Szulkin (Stockholm) MSC: 34B15 34C25 PDF BibTeX XML Cite \textit{D. Papini}, J. Math. Anal. Appl. 247, No. 1, 217--235 (2000; Zbl 0967.34007) Full Text: DOI
Ruppen, Hans-Jörg Multiple TE-modes for planar, self-focusing wave guides. (English) Zbl 0937.78012 Ann. Mat. Pura Appl., IV. Ser. 172, 323-377 (1997). Reviewer: Nikolai Pleshchinskii (Kazan’) MSC: 78A50 35Q60 35P30 35A15 PDF BibTeX XML Cite \textit{H.-J. Ruppen}, Ann. Mat. Pura Appl. (4) 172, 323--377 (1997; Zbl 0937.78012) Full Text: DOI
Pflüger, K. Remarks on nonlinear Neumann problems in periodic domains. (English) Zbl 0873.35029 Result. Math. 31, No. 3-4, 365-373 (1997). MSC: 35J65 35J20 49J20 PDF BibTeX XML Cite \textit{K. Pflüger}, Result. Math. 31, No. 3--4, 365--373 (1997; Zbl 0873.35029) Full Text: DOI
Bartsch, Thomas; Willem, Michel Infinitely many radial solutions of a semilinear elliptic problem on \(\mathbb{R}^ N\). (English) Zbl 0790.35020 Arch. Ration. Mech. Anal. 124, No. 3, 261-276 (1993). Reviewer: E.Dancer (Sydney) MSC: 35J20 35J60 35B35 PDF BibTeX XML Cite \textit{T. Bartsch} and \textit{M. Willem}, Arch. Ration. Mech. Anal. 124, No. 3, 261--276 (1993; Zbl 0790.35020) Full Text: DOI
Pankov, A. A. Invariant semilinear elliptic equations on manifolds of constant negative curvature. (English. Russian original) Zbl 0806.58049 Funct. Anal. Appl. 26, No. 3, 218-220 (1992); translation from Funkts. Anal. Prilozh. 26, No. 3, 82-84 (1992). Reviewer: P.Zabreiko (Minsk) MSC: 58J05 35J60 PDF BibTeX XML Cite \textit{A. A. Pankov}, Funct. Anal. Appl. 26, No. 3, 218--220 (1992; Zbl 0806.58049); translation from Funkts. Anal. Prilozh. 26, No. 3, 82--84 (1992) Full Text: DOI
Ruppen, Hans-Jörg Nodal characterization of bifurcating branches in \(L^ p(\mathbb{R}{})\) for a semilinear equation. (English) Zbl 0767.34057 J. Differ. Equations 99, No. 1, 153-203 (1992). Reviewer: D.Robert (Nantes) MSC: 34L05 34C23 PDF BibTeX XML Cite \textit{H.-J. Ruppen}, J. Differ. Equations 99, No. 1, 153--203 (1992; Zbl 0767.34057) Full Text: DOI
Chen, Chao-Nien Some existence and bifurcation results for solutions of nonlinear Sturm- Liouville eigenvalue problems. (English) Zbl 0713.34029 Math. Z. 208, No. 2, 177-192 (1991). Reviewer: Chao-Nien Chen MSC: 34B24 PDF BibTeX XML Cite \textit{C.-N. Chen}, Math. Z. 208, No. 2, 177--192 (1991; Zbl 0713.34029) Full Text: DOI EuDML
Chen, Chao-Nien Multiple solutions for a class of nonlinear Sturm-Liouville problems when nonlinearities are not odd. (English) Zbl 0779.34018 J. Differ. Equations 89, No. 1, 138-153 (1991). MSC: 34B15 34B24 PDF BibTeX XML Cite \textit{C.-N. Chen}, J. Differ. Equations 89, No. 1, 138--153 (1991; Zbl 0779.34018) Full Text: DOI
Rabinowitz, Paul H.; Tanaka, Kazunaga Some results on connecting orbits for a class of Hamiltonian systems. (English) Zbl 0707.58022 Math. Z. 206, No. 3, 473-499 (1991). Reviewer: P.H.Rabinowitz MSC: 37J99 58E30 PDF BibTeX XML Cite \textit{P. H. Rabinowitz} and \textit{K. Tanaka}, Math. Z. 206, No. 3, 473--499 (1991; Zbl 0707.58022) Full Text: DOI EuDML
Adimurthi; Yadava, S. L. Multiplicity results for semilinear elliptic equations in a bounded domain of \({\mathbb{R}}^ 2\) involving critical exponents. (English) Zbl 0732.35029 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 17, No. 4, 481-504 (1990). Reviewer: R.Sperb (Zürich) MSC: 35J60 PDF BibTeX XML Cite \textit{Adimurthi} and \textit{S. L. Yadava}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 17, No. 4, 481--504 (1990; Zbl 0732.35029) Full Text: Numdam EuDML
Chen, Chaonien Multiple solutions for a class of nonlinear Sturm-Liouville problems on the half line. (English) Zbl 0703.34032 J. Differ. Equations 85, No. 2, 236-275 (1990). Reviewer: F.M.Ragab MSC: 34B24 34A34 PDF BibTeX XML Cite \textit{C. Chen}, J. Differ. Equations 85, No. 2, 236--275 (1990; Zbl 0703.34032) Full Text: DOI
Ambrosetti, Antonio; Coti Zelati, Vittorio Closed orbits of fixed energy for singular Hamiltonian systems. (English) Zbl 0737.70008 Arch. Ration. Mech. Anal. 112, No. 4, 339-362 (1990). Reviewer: Tudor Ratiu (Tucson) MSC: 70H05 37J99 37G99 PDF BibTeX XML Cite \textit{A. Ambrosetti} and \textit{V. Coti Zelati}, Arch. Ration. Mech. Anal. 112, No. 4, 339--362 (1990; Zbl 0737.70008) Full Text: DOI
Pankov, A. A. Semilinear elliptic equations in \({\mathbb{R}}^ n\) with nonstabilizing coefficients. (English. Russian original) Zbl 0729.35043 Ukr. Math. J. 41, No. 9, 1075-1078 (1989); translation from Ukr. Mat. Zh. 41, No. 9, 1247-1251 (1989). MSC: 35J60 35J20 35A15 PDF BibTeX XML Cite \textit{A. A. Pankov}, Ukr. Math. J. 41, No. 9, 1075--1078 (1989; Zbl 0729.35043); translation from Ukr. Mat. Zh. 41, No. 9, 1247--1251 (1989) Full Text: DOI
Tanaka, Kazunaga Morse indices at critical points related to the symmetric mountain pass theorem and applications. (English) Zbl 0669.34035 Commun. Partial Differ. Equations 14, No. 1, 99-128 (1989). Reviewer: Zhang Di MSC: 34C05 34L99 34B05 PDF BibTeX XML Cite \textit{K. Tanaka}, Commun. Partial Differ. Equations 14, No. 1, 99--128 (1989; Zbl 0669.34035) Full Text: DOI
Coffman, Charles V. Lyusternik-Schnirelman theory: Complementary principles and the Morse index. (English) Zbl 0661.58008 Nonlinear Anal., Theory Methods Appl. 12, No. 5, 507-529 (1988). Reviewer: P.Quittner MSC: 58E05 34B15 PDF BibTeX XML Cite \textit{C. V. Coffman}, Nonlinear Anal., Theory Methods Appl. 12, No. 5, 507--529 (1988; Zbl 0661.58008) Full Text: DOI
Heinz, Hans-Peter Free Ljusternik-Schnirelman theory and the bifurcation diagrams of certain singular nonlinear problems. (English) Zbl 0607.34012 J. Differ. Equations 66, 263-300 (1987). Reviewer: N.L.Maria MSC: 34A99 34A34 PDF BibTeX XML Cite \textit{H.-P. Heinz}, J. Differ. Equations 66, 263--300 (1987; Zbl 0607.34012) Full Text: DOI
van Groesen, E. W. C. Applications of natural constraints in critical point theory to boundary value problems on domains with rotation symmetry. (English) Zbl 0553.35017 Arch. Math. 44, 171-179 (1985). MSC: 35J20 35B10 58E05 58E30 34C10 PDF BibTeX XML Cite \textit{E. W. C. van Groesen}, Arch. Math. 44, 171--179 (1985; Zbl 0553.35017) Full Text: DOI
Ôtani, Mitsuharu On certain second order ordinary differential equations associated with Sobolev-Poincaré-type inequalities. (English) Zbl 0559.35028 Nonlinear Anal., Theory Methods Appl. 8, 1255-1270 (1984). Reviewer: I.Ginchev MSC: 35J60 35J20 35B35 35B50 PDF BibTeX XML Cite \textit{M. Ôtani}, Nonlinear Anal., Theory Methods Appl. 8, 1255--1270 (1984; Zbl 0559.35028) Full Text: DOI
Kurtz, J. C. Weighted Sobolev spaces with applications to singular nonlinear boundary value problems. (English) Zbl 0532.34014 J. Differ. Equations 49, 105-123 (1983). Reviewer: W.Wendt MSC: 34B15 PDF BibTeX XML Cite \textit{J. C. Kurtz}, J. Differ. Equations 49, 105--123 (1983; Zbl 0532.34014) Full Text: DOI
Shekhter, B. L. On existence and zeros of solutions of a nonlinear two-point boundary value problem. (English) Zbl 0524.34021 J. Math. Anal. Appl. 97, 1-20 (1983). MSC: 34B15 34B10 PDF BibTeX XML Cite \textit{B. L. Shekhter}, J. Math. Anal. Appl. 97, 1--20 (1983; Zbl 0524.34021) Full Text: DOI
Struwe, Michael Multiple solutions of differential equations without the Palais-Smale condition. (English) Zbl 0506.35034 Math. Ann. 261, 399-412 (1982). MSC: 35J60 35A15 35A05 58E05 PDF BibTeX XML Cite \textit{M. Struwe}, Math. Ann. 261, 399--412 (1982; Zbl 0506.35034) Full Text: DOI EuDML
Kurtz, J. C. A class of singular nonlinear boundary value problems. (English) Zbl 0523.34015 J. Math. Anal. Appl. 83, 26-42 (1981). MSC: 34B15 PDF BibTeX XML Cite \textit{J. C. Kurtz}, J. Math. Anal. Appl. 83, 26--42 (1981; Zbl 0523.34015) Full Text: DOI
Ambrosetti, Antonio; Mancini, Giovanni Solutions of minimal period for a class of convex Hamiltonian systems. (English) Zbl 0466.70022 Math. Ann. 255, 405-421 (1981). MSC: 70H05 34C25 58E15 58E05 PDF BibTeX XML Cite \textit{A. Ambrosetti} and \textit{G. Mancini}, Math. Ann. 255, 405--421 (1981; Zbl 0466.70022) Full Text: DOI EuDML
Struwe, Michael Infinitely many solutions of superlinear boundary value problems with rotational symmetry. (English) Zbl 0441.35010 Arch. Math. 36, 360-369 (1981). MSC: 35B05 35J20 35J60 35J65 35B45 PDF BibTeX XML Cite \textit{M. Struwe}, Arch. Math. 36, 360--369 (1981; Zbl 0441.35010) Full Text: DOI
Struwe, Michael Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems. (English) Zbl 0456.35031 Manuscr. Math. 32, 335-364 (1980). MSC: 35J65 35J60 35J20 PDF BibTeX XML Cite \textit{M. Struwe}, Manuscr. Math. 32, 335--364 (1980; Zbl 0456.35031) Full Text: DOI EuDML
Chow, S. N.; Kurtz, J. C. Singular nonlinear equations on an unbounded interval. (English) Zbl 0444.34012 J. Math. Anal. Appl. 77, 642-653 (1980). MSC: 34A34 34C05 PDF BibTeX XML Cite \textit{S. N. Chow} and \textit{J. C. Kurtz}, J. Math. Anal. Appl. 77, 642--653 (1980; Zbl 0444.34012) Full Text: DOI
Struwe, Michael Multiple solutions of anticoercive boundary value problems for a class of ordinary differential equations of second order. (English) Zbl 0417.34039 J. Differ. Equations 37, 285-295 (1980). MSC: 34B15 34C10 34C15 34C25 PDF BibTeX XML Cite \textit{M. Struwe}, J. Differ. Equations 37, 285--295 (1980; Zbl 0417.34039) Full Text: DOI
Hartman, Philip On boundary value problems for superlinear second order differential equations. (English) Zbl 0365.34032 J. Differ. Equations 26, 37-53 (1977). MSC: 34L99 PDF BibTeX XML Cite \textit{P. Hartman}, J. Differ. Equations 26, 37--53 (1977; Zbl 0365.34032) Full Text: DOI
Baxley, John V. Global existence and uniqueness for second-order ordinary differential equations. (English) Zbl 0353.34018 J. Differ. Equations 23, 315-334 (1977). MSC: 34B15 34A12 PDF BibTeX XML Cite \textit{J. V. Baxley}, J. Differ. Equations 23, 315--334 (1977; Zbl 0353.34018) Full Text: DOI
Butler, G. J. Rapid oscillation, non-extendability and the existence of periodic solutions to second order nonlinear ordinary differential equations. (English) Zbl 0299.34050 J. Differ. Equations. 22, 467-477 (1976). MSC: 34C25 34C10 34B30 PDF BibTeX XML Cite \textit{G. J. Butler}, J. Differ. Equations 22, 467--477 (1976; Zbl 0299.34050) Full Text: DOI
Jacobowitz, Howard Periodic solutions of x”+f(x,t)=0 via the Poincaré-Birkhoff theorem. (English) Zbl 0285.34028 J. Differ. Equations 20, 37-52 (1976). MSC: 34C25 37-XX PDF BibTeX XML Cite \textit{H. Jacobowitz}, J. Differ. Equations 20, 37--52 (1976; Zbl 0285.34028) Full Text: DOI
Coffman, Charles V. On variational principles for sublinear boundary value problems. (English) Zbl 0292.49005 J. Differ. Equations 17, 46-60 (1975). MSC: 49J35 49K35 34B15 PDF BibTeX XML Cite \textit{C. V. Coffman}, J. Differ. Equations 17, 46--60 (1975; Zbl 0292.49005) Full Text: DOI
Turner, R. E. L. Superlinear Sturm-Liouville problems. (English) Zbl 0272.34031 J. Differ. Equations 13, 157-171 (1973). MSC: 34L99 34B05 34G99 PDF BibTeX XML Cite \textit{R. E. L. Turner}, J. Differ. Equations 13, 157--171 (1973; Zbl 0272.34031) Full Text: DOI
Coffman, C. V.; Wong, J. S. W. Oscillation and nonoscillation of solutions of generalized Emden-Fowler equations. (English) Zbl 0278.34026 Trans. Am. Math. Soc. 167, 399-434 (1972). MSC: 34C10 34C15 34A12 PDF BibTeX XML Cite \textit{C. V. Coffman} and \textit{J. S. W. Wong}, Trans. Am. Math. Soc. 167, 399--434 (1972; Zbl 0278.34026) Full Text: DOI
Hooker, J. W. Existence and oscillation theorems for a class of non-linear second order differential equations. (English) Zbl 0202.09404 J. Differ. Equations 5, 283-306 (1969). PDF BibTeX XML Cite \textit{J. W. Hooker}, J. Differ. Equations 5, 283--306 (1969; Zbl 0202.09404) Full Text: DOI
Wolkowisky, J. H. Nonlinear Sturm-Liouville problems. (English) Zbl 0186.41203 Arch. Ration. Mech. Anal. 35, 299-320 (1969). PDF BibTeX XML Cite \textit{J. H. Wolkowisky}, Arch. Ration. Mech. Anal. 35, 299--320 (1969; Zbl 0186.41203) Full Text: DOI
Coffman, C. V. A minimum-maximum principle for a class of non-linear integral equations. (English) Zbl 0179.15601 J. Anal. Math. 22, 391-419 (1969). PDF BibTeX XML Cite \textit{C. V. Coffman}, J. Anal. Math. 22, 391--419 (1969; Zbl 0179.15601) Full Text: DOI
Brauer, Fred Nonlinear perturbations of Sturm-Liouville boundary value problems. (English) Zbl 0162.11702 J. Math. Anal. Appl. 22, 591-598 (1968). PDF BibTeX XML Cite \textit{F. Brauer}, J. Math. Anal. Appl. 22, 591--598 (1968; Zbl 0162.11702) Full Text: DOI
Wokowisky, J. H. A nonlinear Sturm-Liouville problem. (English) Zbl 0153.11802 Bull. Am. Math. Soc. 73, 634-636 (1967). PDF BibTeX XML Cite \textit{J. H. Wokowisky}, Bull. Am. Math. Soc. 73, 634--636 (1967; Zbl 0153.11802) Full Text: DOI
Coffman, Charles V. On the positive of boundary-value problems for a class of nonlinear differential equations. (English) Zbl 0152.08603 J. Differ. Equations 3, 92-111 (1967). PDF BibTeX XML Cite \textit{C. V. Coffman}, J. Differ. Equations 3, 92--111 (1967; Zbl 0152.08603) Full Text: DOI
Berger, M. S. A Sturm-Liouville theorem for nonlinear elliptic partial differential equations. (English) Zbl 0147.09503 Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 20, 543-582 (1966). PDF BibTeX XML Cite \textit{M. S. Berger}, Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 20, 543--582 (1966; Zbl 0147.09503) Full Text: Numdam EuDML
Berger, M. S. An eigenvalue problem for nonlinear elliptic partial differential equations. (English) Zbl 0142.08402 Trans. Am. Math. Soc. 120, 145-184 (1965). PDF BibTeX XML Cite \textit{M. S. Berger}, Trans. Am. Math. Soc. 120, 145--184 (1965; Zbl 0142.08402) Full Text: DOI
Moroney, R. M. A class of characteristic-value problems. (English) Zbl 0112.05601 Trans. Am. Math. Soc. 102, 446-470 (1962). PDF BibTeX XML Cite \textit{R. M. Moroney}, Trans. Am. Math. Soc. 102, 446--470 (1962; Zbl 0112.05601) Full Text: DOI