# Search results

Mathematical Methods in the Applied Sciences > 46 > 2 > 2972 - 2985

Mathematical Methods in the Applied Sciences > 45 > 3 > 1668 - 1686

_{2}. Potential equations and the convergence of their Euler action functionals are also investigated. Applications towards the dependence on parameters for both potential and nonpotenial nonlinear Dirichlet...

Mathematische Nachrichten > 293 > 5 > 1004 - 1013

Russian Mathematics > 2019 > 63 > 10 > 1-12

Journal of Mathematical Sciences > 2019 > 241 > 6 > 701-717

Journal of Mathematical Sciences > 2019 > 241 > 5 > 622-645

Analysis and Mathematical Physics > 2019 > 9 > 2 > 747-760

*D*. The original proof, as well as other proofs in the literature (e.g., in the case of Lipschitz domains), are based on potential theory (transition densities of the...

Acta Mathematica Sinica, English Series > 2019 > 35 > 6 > 1074-1084

*L*be a second-order linear elliptic operator with complex coefficients. It is shown that if the

*L*

^{p}Dirichlet problem for the elliptic system

*L(u)*= 0 in a fixed Lipschitz domain Ω in ℝ

^{d}is solvable for some $$1 < p = {p_0} < \frac{{2\left( {d - 1} \right)}}{{d - 2}},$$ 1 < p = p 0 < 2 ( d − 1 ) d − 2 , then it is solvable for all

*p*satisfying $${p_0} < p <...

Computational Mathematics and Mathematical Physics > 2019 > 59 > 1 > 66-81

Boundary Value Problems > 2019 > 2019 > 1 > 1-10

Mediterranean Journal of Mathematics > 2019 > 16 > 3 > 1-17

Mathematische Zeitschrift > 2019 > 293 > 3-4 > 1633-1656

*p*-Poincaré inequality. Notions of rectifiably (in)accessible- and (in)finitely far away prime ends are introduced and employed in classification of prime ends. We show that, for a given domain, the prime end capacity...

Journal of Fixed Point Theory and Applications > 2019 > 21 > 1 > 1-9

Complex Analysis and Operator Theory > 2019 > 13 > 3 > 1419-1429

Opuscula Mathematica > 2019 > Vol. 39, no. 1 > 109--124

Mathematical Notes > 2018 > 104 > 5-6 > 781-788

*d*-dimensional ball on a sphere of radius

*ρ*from a finite collection of inaccurately specified Fourier coefficients of the solution on a sphere of radius

*r*, 0 <

*r*<

*ρ*< 1. The methods are required to be exact on certain subspaces of spherical harmonics.

Journal of Applied and Industrial Mathematics > 2018 > 12 > 4 > 770-784

Advances in Difference Equations > 2018 > 2018 > 1 > 1-9

*p*-Laplacian Dirichlet problem containing the left and right fractional derivative operators. By using the Nehari method in critical point theory, we obtain the existence theorem of ground state solutions for such Dirichlet problem.

Mathematical Notes > 2018 > 104 > 3-4 > 339-347