caa a22 4500 606194061 CHVBK 20210128100912.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00030-014-0288-8 doi (NATIONALLICENCE)springer-10.1007/s00030-014-0288-8 Combined concave-convex effects in anisotropic elliptic equations with variable exponent [Elektronische Daten] [Vicenţiu Rădulescu, Ionela-Loredana Stăncuţ] We establish the existence and multiplicity of solutions for a class of quasilinear elliptic equations involving the anisotropic $${\vec{p}(\cdot)}$$ p → ( · ) -Laplace operator, on a bounded domain with smooth boundary. We work on the weighted anisotropic variable exponent Sobolev space and our main tools are Sobolev embeddings and the mountain pass theorem. Springer Basel, 2014 Quasilinear elliptic equations nationallicence $${\vec{p}(\cdot)}$$ p → ( · ) -Laplace operator nationallicence Weighted anisotropic variable exponent Sobolev space nationallicence Critical point nationallicence Weak solution nationallicence Rădulescu Vicenţiu Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia aut Stăncuţ Ionela-Loredana Simion Stoilow Mathematics Institute of the Romanian Academy, 014700, Bucharest, Romania aut Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/3(2015-06-01), 391-410 1021-9722 22:3<391 2015 22 30 https://doi.org/10.1007/s00030-014-0288-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-014-0288-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Rădulescu Vicenţiu Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia aut NATIONALLICENCE 700 1- Stăncuţ Ionela-Loredana Simion Stoilow Mathematics Institute of the Romanian Academy, 014700, Bucharest, Romania aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/3(2015-06-01), 391-410 1021-9722 22:3<391 2015 22 30