Abstract In this paper, we study a singular Finsler double phase problem with nonlinear boundary condition and perturbations that have type of critical growth, even on the boundary. Based variational methods in combination truncation techniques, prove existence at least one weak solution for under very general assumptions. Even case when manifold reduces to Euclidean norm, our work is first dealing condition.

We prove multipolar Hardy inequalities on complete Riemannian manifolds, providing various curved counterparts of some Euclidean due to Cazacu and Zuazua [Improved inequalities, 2013]. notice that our deeply depend the curvature, (quantitative) information about deflection from flat case. By using these together with variational methods group-theoretical arguments, we also establish non-existence, existence multiplicity results for certain Schrödinger-type problems involving Laplace-Beltrami...

In this paper, we consider the following problem: [Formula: see text] where is a text]-dimensional ([Formula: text], non-compact Riemannian manifold with asymptotically non-negative Ricci curvature, real parameter, positive coercive potential, bounded function and suitable nonlinearity. By using variational methods, prove characterization result for existence of solutions text].

In the present paper we prove a multiplicity result for an anisotropic sublinear elliptic problem with Dirichlet boundary condition, depending on positive parameter λ. By variational arguments, that enough large values of λ, our has at least two non-zero distinct solutions. particular, show one solutions provides Wulff-type symmetry.

Building an effective and highly usable epidemiology model presents two main challenges: finding the appropriate, realistic enough that takes into account complex biological, social environmental parameters efficiently estimating parameter values with which can accurately match available outbreak data, provide useful projections. The reproduction number of novel coronavirus (SARS-CoV-2) has been found to vary over time, potentially being influenced by a multitude factors such as varying...

In the present paper we deal with a quasilinear elliptic equation involving critical Sobolev exponent on non-compact Randers spaces. Under very general assumptions perturbation, prove existence of non-trivial solution. The approach is based direct methods calculus variations. One key steps to that energy functional associated problem weakly lower semicontinuous small balls space, which provided by inequality. end, Hardy-type inequalities Finsler manifolds as an application this

Abstract Given a complete non-compact Riemannian manifold ( M , g ) with certain curvature restrictions, we introduce an expansion condition concerning group of isometries G that characterizes the coerciveness in sense Skrzypczak and Tintarev (Arch Math 101(3): 259–268, 2013). Furthermore, under these conditions, compact Sobolev-type embeddings à la Berestycki-Lions are proved for full range admissible parameters (Sobolev, Moser-Trudinger Morrey). We also consider case Randers-type Finsler...

The goal of this paper is to provide sharp spectral gap estimates for problems involving higher-order operators (including both the clamped and buckling plate problems) on Cartan–Hadamard manifolds. proofs are symmetrization-free — thus no isoperimetric inequality needed based two general, yet elementary functional inequalities. estimate plates solves a asymptotic problem from [Q.-M. Cheng H. Yang, Universal inequalities eigenvalues hyperbolic space, Proc. Amer. Math. Soc. 139(2) (2011)...

In the present note we prove a multiplicity result for Kirchhoff type problem involving critical term, giving partial positive answer to raised by Ricceri.

We prove Sobolev-type interpolation inequalities on Hadamard manifolds and their optimality whenever the Cartan-Hadamard conjecture holds (e.g., in dimensions 2, 3 4). The existence of extremals leads to unexpected rigidity phenomena.